(40-2x)*(30-2x)*x=v(x)

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Solution for (40-2x)*(30-2x)*x=v(x) equation: 


Simplifying
(40 + -2x)(30 + -2x) * x = v(x)

Reorder the terms for easier multiplication:
x(40 + -2x)(30 + -2x) = v(x)

Multiply (40 + -2x) * (30 + -2x)
x(40(30 + -2x) + -2x * (30 + -2x)) = v(x)
x((30 * 40 + -2x * 40) + -2x * (30 + -2x)) = v(x)
x((1200 + -80x) + -2x * (30 + -2x)) = v(x)
x(1200 + -80x + (30 * -2x + -2x * -2x)) = v(x)
x(1200 + -80x + (-60x + 4x2)) = v(x)

Combine like terms: -80x + -60x = -140x
x(1200 + -140x + 4x2) = v(x)
(1200 * x + -140x * x + 4x2 * x) = v(x)
(1200x + -140x2 + 4x3) = v(x)

Multiply v * x
1200x + -140x2 + 4x3 = vx

Solving
1200x + -140x2 + 4x3 = vx

Solving for variable 'x'.

Reorder the terms:
-1vx + 1200x + -140x2 + 4x3 = vx + -1vx

Combine like terms: vx + -1vx = 0
-1vx + 1200x + -140x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1v + 1200 + -140x + 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 + 1200 + -140x + 4x2)' equal to zero and attempt to solve:

Simplifying
-1v + 1200 + -140x + 4x2 = 0

Reorder the terms:
1200 + -1v + -140x + 4x2 = 0

Solving
1200 + -1v + -140x + 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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