Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x1−32x
Evaluate
16÷(8x×8)−8
Multiply the terms
16÷64x−8
Divide the terms
More Steps
Evaluate
16÷64x
Rewrite the expression
64x16
Cancel out the common factor 16
4x1
4x1−8
Reduce fractions to a common denominator
4x1−4x8×4x
Write all numerators above the common denominator
4x1−8×4x
Solution
4x1−32x
Show Solution
Find the excluded values
x=0
Evaluate
16÷(8x×8)−8
To find the excluded values,set the denominators equal to 0
8x×8=0
Multiply the terms
64x=0
Solution
x=0
Show Solution
Find the roots
x=321
Alternative Form
x=0.03125
Evaluate
16÷(8x×8)−8
To find the roots of the expression,set the expression equal to 0
16÷(8x×8)−8=0
Find the domain
More Steps
Evaluate
8x×8=0
Multiply the terms
64x=0
Rewrite the expression
x=0
16÷(8x×8)−8=0,x=0
Calculate
16÷(8x×8)−8=0
Multiply the terms
16÷64x−8=0
Divide the terms
More Steps
Evaluate
16÷64x
Rewrite the expression
64x16
Cancel out the common factor 16
4x1
4x1−8=0
Subtract the terms
More Steps
Simplify
4x1−8
Reduce fractions to a common denominator
4x1−4x8×4x
Write all numerators above the common denominator
4x1−8×4x
Multiply the terms
4x1−32x
4x1−32x=0
Cross multiply
1−32x=4x×0
Simplify the equation
1−32x=0
Move the constant to the right side
−32x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−32x=−1
Change the signs on both sides of the equation
32x=1
Divide both sides
3232x=321
Divide the numbers
x=321
Check if the solution is in the defined range
x=321,x=0
Solution
x=321
Alternative Form
x=0.03125
Show Solution