Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−160x2−5
Evaluate
(5x2−32x3×5)÷x−5
Multiply the terms
(5x2−160x3)÷x−5
Solution
More Steps
Evaluate
(5x2−160x3)÷x
Rewrite the expression
x5x2−160x3
Factor
xx(5x−160x2)
Reduce the fraction
5x−160x2
5x−160x2−5
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Find the excluded values
x=0
Evaluate
(5x2−32x3×5)÷x−5
Solution
x=0
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Factor the expression
5(x−32x2−1)
Evaluate
(5x2−32x3×5)÷x−5
Multiply the terms
(5x2−160x3)÷x−5
Divide the terms
More Steps
Evaluate
(5x2−160x3)÷x
Rewrite the expression
x5x2−160x3
Factor
xx(5x−160x2)
Reduce the fraction
5x−160x2
5x−160x2−5
Solution
5(x−32x2−1)
Show Solution
Find the roots
x∈/R
Evaluate
(5x2−32x3×5)÷x−5
To find the roots of the expression,set the expression equal to 0
(5x2−32x3×5)÷x−5=0
Find the domain
(5x2−32x3×5)÷x−5=0,x=0
Calculate
(5x2−32x3×5)÷x−5=0
Multiply the terms
(5x2−160x3)÷x−5=0
Divide the terms
More Steps
Evaluate
(5x2−160x3)÷x
Rewrite the expression
x5x2−160x3
Factor
xx(5x−160x2)
Reduce the fraction
5x−160x2
5x−160x2−5=0
Rewrite in standard form
−160x2+5x−5=0
Multiply both sides
160x2−5x+5=0
Substitute a=160,b=−5 and c=5 into the quadratic formula x=2a−b±b2−4ac
x=2×1605±(−5)2−4×160×5
Simplify the expression
x=3205±(−5)2−4×160×5
Simplify the expression
More Steps
Evaluate
(−5)2−4×160×5
Multiply the terms
More Steps
Multiply the terms
4×160×5
Multiply the terms
640×5
Multiply the numbers
3200
(−5)2−3200
Rewrite the expression
52−3200
Evaluate the power
25−3200
Subtract the numbers
−3175
x=3205±−3175
Solution
x∈/R
Show Solution