(32x)=(2x)*(r*r)

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Solution for (32x)=(2x)*(r*r) equation: 


Simplifying
(32x) = (2x)(r * r)

Remove parenthesis around (2x)
(32x) = 2x(r * r)

Multiply r * r
(32x) = 2x(r2)

Multiply x * r2
(32x) = 2r2x

Solving
(32x) = 2r2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2r2x' to each side of the equation.
-2r2x + (32x) = 2r2x + -2r2x

Combine like terms: 2r2x + -2r2x = 0
-2r2x + (32x) = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1r2 + 16) = 0

Factor a difference between two squares.
2x((r + 4)(-1r + 4)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(r + 4)' equal to zero and attempt to solve:

Simplifying
r + 4 = 0

Reorder the terms:
4 + r = 0

Solving
4 + r = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4

Combine like terms: 0 + -4 = -4
r = -4

Add '-1r' to each side of the equation.
r + -1r = -4 + -1r

Combine like terms: r + -1r = 0
0 = -4 + -1r

Simplifying
0 = -4 + -1r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-1r + 4)' equal to zero and attempt to solve:

Simplifying
-1r + 4 = 0

Reorder the terms:
4 + -1r = 0

Solving
4 + -1r = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

Add 'r' to each side of the equation.
-1r + r = -4 + r

Combine like terms: -1r + r = 0
0 = -4 + r

Simplifying
0 = -4 + r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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