x(60-2x)(60-2x)=0

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Solution for x(60-2x)(60-2x)=0 equation: 


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

Multiply (60 + -2x) * (60 + -2x)
x(60(60 + -2x) + -2x * (60 + -2x)) = 0
x((60 * 60 + -2x * 60) + -2x * (60 + -2x)) = 0
x((3600 + -120x) + -2x * (60 + -2x)) = 0
x(3600 + -120x + (60 * -2x + -2x * -2x)) = 0
x(3600 + -120x + (-120x + 4x2)) = 0

Combine like terms: -120x + -120x = -240x
x(3600 + -240x + 4x2) = 0
(3600 * x + -240x * x + 4x2 * x) = 0
(3600x + -240x2 + 4x3) = 0

Solving
3600x + -240x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(900 + -60x + x2) = 0

Factor a trinomial.
4x((30 + -1x)(30 + -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 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 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 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

Subproblem 3
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 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 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {0, 30, 30}

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