(32-2x)*(20-2x)*x=v(x)

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Solution for (32-2x)*(20-2x)*x=v(x) equation:


Simplifying
(32 + -2x)(20 + -2x) * x = v(x)

Reorder the terms for easier multiplication:
x(32 + -2x)(20 + -2x) = v(x)

Multiply (32 + -2x) * (20 + -2x)
x(32(20 + -2x) + -2x * (20 + -2x)) = v(x)
x((20 * 32 + -2x * 32) + -2x * (20 + -2x)) = v(x)
x((640 + -64x) + -2x * (20 + -2x)) = v(x)
x(640 + -64x + (20 * -2x + -2x * -2x)) = v(x)
x(640 + -64x + (-40x + 4x2)) = v(x)

Combine like terms: -64x + -40x = -104x
x(640 + -104x + 4x2) = v(x)
(640 * x + -104x * x + 4x2 * x) = v(x)
(640x + -104x2 + 4x3) = v(x)

Multiply v * x
640x + -104x2 + 4x3 = vx

Solving
640x + -104x2 + 4x3 = vx

Solving for variable 'x'.

Reorder the terms:
-1vx + 640x + -104x2 + 4x3 = vx + -1vx

Combine like terms: vx + -1vx = 0
-1vx + 640x + -104x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1v + 640 + -104x + 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 '(-1v + 640 + -104x + 4x2)' equal to zero and attempt to solve: Simplifying -1v + 640 + -104x + 4x2 = 0 Reorder the terms: 640 + -1v + -104x + 4x2 = 0 Solving 640 + -1v + -104x + 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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