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

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


Simplifying
0 = (40 + -2x)(30 + -2x)(x)

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

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

Combine like terms: -80x + -60x = -140x
0 = x(1200 + -140x + 4x2)
0 = (1200 * x + -140x * x + 4x2 * x)
0 = (1200x + -140x2 + 4x3)

Solving
0 = 1200x + -140x2 + 4x3

Solving for variable 'x'.
Remove the zero:
-1200x + 140x2 + -4x3 = 1200x + -140x2 + 4x3 + -1200x + 140x2 + -4x3

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-300 + 35x + -1x2) = 0

Factor a trinomial.
4x((-20 + x)(15 + -1x)) = 0

Ignore the factor 4.

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 '(-20 + x)' equal to zero and attempt to solve:

Simplifying
-20 + x = 0

Solving
-20 + x = 0

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

Add '20' to each side of the equation.
-20 + 20 + x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x = 0 + 20
x = 0 + 20

Combine like terms: 0 + 20 = 20
x = 20

Simplifying
x = 20

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, 20, 15}

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