x(30-2x)(30-2x)=0

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Solution for x(30-2x)(30-2x)=0 equation: 


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

Multiply (30 + -2x) * (30 + -2x)
x(30(30 + -2x) + -2x * (30 + -2x)) = 0
x((30 * 30 + -2x * 30) + -2x * (30 + -2x)) = 0
x((900 + -60x) + -2x * (30 + -2x)) = 0
x(900 + -60x + (30 * -2x + -2x * -2x)) = 0
x(900 + -60x + (-60x + 4x2)) = 0

Combine like terms: -60x + -60x = -120x
x(900 + -120x + 4x2) = 0
(900 * x + -120x * x + 4x2 * x) = 0
(900x + -120x2 + 4x3) = 0

Solving
900x + -120x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(225 + -30x + x2) = 0

Factor a trinomial.
4x((15 + -1x)(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 '(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

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, 15, 15}

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