Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7x
Evaluate
x35624
Cancel out the common factor 8
x373
Multiply by the reciprocal
73×3x
Cancel out the common factor 3
71x
Solution
7x
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Find the excluded values
x=0
Evaluate
x35624
To find the excluded values,set the denominators equal to 0
x=0x3=0
Solve the equations
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Evaluate
x3=0
Cross multiply
3=x×0
Simplify the equation
3=0
The statement is false for any value of x
x∈∅
x=0x∈∅
Solution
x=0
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Find the roots
x∈∅
Evaluate
x35624
To find the roots of the expression,set the expression equal to 0
x35624=0
Find the domain
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Evaluate
{x=0x3=0
Calculate
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Evaluate
x3=0
Multiply both sides
x3×x=0×x
Evaluate
3=0×x
Multiply both sides
3=0
The statement is true for any value of x
x∈R
{x=0x∈R
Find the intersection
x=0
x35624=0,x=0
Calculate
x35624=0
Cancel out the common factor 8
x373=0
Divide the terms
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Evaluate
x373
Multiply by the reciprocal
73×3x
Cancel out the common factor 3
71x
Multiply the terms
7x
7x=0
Simplify
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution