x(2x-30)(60-2x)=

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Solution for x(2x-30)(60-2x)= equation: 


Simplifying
x(2x + -30)(60 + -2x) = 0

Reorder the terms:
x(-30 + 2x)(60 + -2x) = 0

Multiply (-30 + 2x) * (60 + -2x)
x(-30(60 + -2x) + 2x * (60 + -2x)) = 0
x((60 * -30 + -2x * -30) + 2x * (60 + -2x)) = 0
x((-1800 + 60x) + 2x * (60 + -2x)) = 0
x(-1800 + 60x + (60 * 2x + -2x * 2x)) = 0
x(-1800 + 60x + (120x + -4x2)) = 0

Combine like terms: 60x + 120x = 180x
x(-1800 + 180x + -4x2) = 0
(-1800 * x + 180x * x + -4x2 * x) = 0
(-1800x + 180x2 + -4x3) = 0

Solving
-1800x + 180x2 + -4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-450 + 45x + -1x2) = 0

Factor a trinomial.
4x((-30 + 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 '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Simplifying
x = 30

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, 30, 15}

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