Question
Simplify the expression
20500x697x2+270
Evaluate
(0,34÷5)x×1÷2−3÷41÷2x(2÷9−3)
Divide the numbers
0,068x×1÷2−3÷41÷2x(2÷9−3)
Rewrite the expression
0,068x×1÷2−3÷41÷2x(92−3)
Subtract the numbers
More Steps

Simplify
92−3
Reduce fractions to a common denominator
92−93×9
Write all numerators above the common denominator
92−3×9
Multiply the numbers
92−27
Subtract the numbers
9−25
Use b−a=−ba=−ba to rewrite the fraction
−925
0,068x×1÷2−3÷41÷2x(−925)
Multiply the terms
0,068x÷2−3÷41÷2x(−925)
Divide the terms
More Steps

Evaluate
0,068x÷2
Convert the decimal into a fraction
More Steps

Evaluate
0,068
Convert the decimal into a fraction
100068
Reduce the fraction
25017
25017x÷2
Rewrite the expression
25017x÷2
Multiply by the reciprocal
25017x×21
Multiply the terms
250×217x
Multiply the terms
50017x
50017x−3÷41÷2x(−925)
Rewrite the expression
50017x−413÷2x(−925)
Multiply
More Steps

Multiply the terms
2x(−925)
Rewrite the expression
−2x×925
Multiply the terms
More Steps

Evaluate
2×925
Multiply the numbers
92×25
Multiply the numbers
950
−950x
50017x−413÷(−950x)
Divide the terms
More Steps

Evaluate
413÷(−950x)
Rewrite the expression
413÷(−950x)
Multiply by the reciprocal
413(−50x9)
Multiplying or dividing an odd number of negative terms equals a negative
−413×50x9
Multiply the terms
−41×50x3×9
Multiply the terms
−41×50x27
Multiply the terms
−2050x27
50017x−(−2050x27)
Solution
More Steps

Evaluate
50017x+2050x27
Reduce fractions to a common denominator
500×41x17x×41x+2050x×1027×10
Multiply the numbers
20500x17x×41x+2050x×1027×10
Multiply the numbers
20500x17x×41x+20500x27×10
Write all numerators above the common denominator
20500x17x×41x+27×10
Multiply the terms
More Steps

Evaluate
17x×41x
Multiply the terms
697x×x
Multiply the terms
697x2
20500x697x2+27×10
Multiply the numbers
20500x697x2+270
20500x697x2+270
Show Solution

Find the excluded values
x=0
Evaluate
(0,34÷5)x×1÷2−3÷41÷2x(2÷9−3)
To find the excluded values,set the denominators equal to 0
2x(2÷9−3)=0
Simplify
More Steps

Evaluate
2x(2÷9−3)
Rewrite the expression
2x(92−3)
Subtract the numbers
More Steps

Simplify
92−3
Reduce fractions to a common denominator
92−93×9
Write all numerators above the common denominator
92−3×9
Multiply the numbers
92−27
Subtract the numbers
9−25
Use b−a=−ba=−ba to rewrite the fraction
−925
2x(−925)
Rewrite the expression
−2x×925
Multiply the terms
More Steps

Evaluate
2×925
Multiply the numbers
92×25
Multiply the numbers
950
−950x
−950x=0
Change the signs on both sides of the equation
950x=0
Solution
x=0
Show Solution

Find the roots
x∈/R
Evaluate
(0,34÷5)x×1÷2−3÷41÷2x(2÷9−3)
To find the roots of the expression,set the expression equal to 0
(0,34÷5)x×1÷2−3÷41÷2x(2÷9−3)=0
Find the domain
More Steps

Evaluate
2x(2÷9−3)=0
Simplify
More Steps

Evaluate
2x(2÷9−3)
Rewrite the expression
2x(92−3)
Subtract the numbers
2x(−925)
Rewrite the expression
−2x×925
Multiply the terms
−950x
−950x=0
Change the signs on both sides of the equation
950x=0
Rewrite the expression
x=0
(0.34÷5)x×1÷2−3÷41÷2x(2÷9−3)=0,x=0
Calculate
(0,34÷5)x×1÷2−3÷41÷2x(2÷9−3)=0
Solution
More Steps

Evaluate
(0.34÷5)x×1÷2−3÷41÷2x(2÷9−3)=0
Divide the numbers
0.068x×1÷2−3÷41÷2x(2÷9−3)=0
Rewrite the expression
0.068x×1÷2−3÷41÷2x(92−3)=0
Subtract the numbers
More Steps

Simplify
92−3
Reduce fractions to a common denominator
92−93×9
Write all numerators above the common denominator
92−3×9
Multiply the numbers
92−27
Subtract the numbers
9−25
Use b−a=−ba=−ba to rewrite the fraction
−925
0.068x×1÷2−3÷41÷2x(−925)=0
Multiply the terms
0.068x÷2−3÷41÷2x(−925)=0
Rewrite the expression
0.068x÷2−413÷2x(−925)=0
Multiply
More Steps

Multiply the terms
2x(−925)
Rewrite the expression
−2x×925
Multiply the terms
−950x
0.068x÷2−413÷(−950x)=0
Divide the terms
More Steps

Evaluate
0.068x÷2
Convert the decimal into a fraction
25017x÷2
Rewrite the expression
25017x÷2
Multiply by the reciprocal
25017x×21
Multiply the terms
250×217x
Multiply the terms
50017x
50017x−413÷(−950x)=0
Divide the terms
More Steps

Evaluate
413÷(−950x)
Rewrite the expression
413÷(−950x)
Multiply by the reciprocal
413(−50x9)
Multiplying or dividing an odd number of negative terms equals a negative
−413×50x9
Multiply the terms
−41×50x3×9
Multiply the terms
−41×50x27
Multiply the terms
−2050x27
50017x−(−2050x27)=0
Subtract the terms
20500x697x2+270=0
Cross multiply
697x2+270=20500x×0
Simplify the equation
697x2+270=0
Since the left-hand side is always positive,and the right-hand side is always 0,the statement is false for any value of x
x∈/R
x∈/R
Show Solution
