(10-2x)(8-2x)(x)=f(x)

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Solution for (10-2x)(8-2x)(x)=f(x) equation: 


Simplifying
(10 + -2x)(8 + -2x)(x) = f(x)

Reorder the terms for easier multiplication:
x(10 + -2x)(8 + -2x) = f(x)

Multiply (10 + -2x) * (8 + -2x)
x(10(8 + -2x) + -2x * (8 + -2x)) = f(x)
x((8 * 10 + -2x * 10) + -2x * (8 + -2x)) = f(x)
x((80 + -20x) + -2x * (8 + -2x)) = f(x)
x(80 + -20x + (8 * -2x + -2x * -2x)) = f(x)
x(80 + -20x + (-16x + 4x2)) = f(x)

Combine like terms: -20x + -16x = -36x
x(80 + -36x + 4x2) = f(x)
(80 * x + -36x * x + 4x2 * x) = f(x)
(80x + -36x2 + 4x3) = f(x)

Multiply f * x
80x + -36x2 + 4x3 = fx

Solving
80x + -36x2 + 4x3 = fx

Solving for variable 'x'.

Reorder the terms:
-1fx + 80x + -36x2 + 4x3 = fx + -1fx

Combine like terms: fx + -1fx = 0
-1fx + 80x + -36x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1f + 80 + -36x + 4x2) = 0


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 '(-1f + 80 + -36x + 4x2)' equal to zero and attempt to solve:

Simplifying
-1f + 80 + -36x + 4x2 = 0

Reorder the terms:
80 + -1f + -36x + 4x2 = 0

Solving
80 + -1f + -36x + 4x2 = 0

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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