5x+5(3x-6)(3x-6)=180

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Solution for 5x+5(3x-6)(3x-6)=180 equation: 


Simplifying
5x + 5(3x + -6)(3x + -6) = 180

Reorder the terms:
5x + 5(-6 + 3x)(3x + -6) = 180

Reorder the terms:
5x + 5(-6 + 3x)(-6 + 3x) = 180

Multiply (-6 + 3x) * (-6 + 3x)
5x + 5(-6(-6 + 3x) + 3x * (-6 + 3x)) = 180
5x + 5((-6 * -6 + 3x * -6) + 3x * (-6 + 3x)) = 180
5x + 5((36 + -18x) + 3x * (-6 + 3x)) = 180
5x + 5(36 + -18x + (-6 * 3x + 3x * 3x)) = 180
5x + 5(36 + -18x + (-18x + 9x2)) = 180

Combine like terms: -18x + -18x = -36x
5x + 5(36 + -36x + 9x2) = 180
5x + (36 * 5 + -36x * 5 + 9x2 * 5) = 180
5x + (180 + -180x + 45x2) = 180

Reorder the terms:
180 + 5x + -180x + 45x2 = 180

Combine like terms: 5x + -180x = -175x
180 + -175x + 45x2 = 180

Add '-180' to each side of the equation.
180 + -175x + -180 + 45x2 = 180 + -180

Reorder the terms:
180 + -180 + -175x + 45x2 = 180 + -180

Combine like terms: 180 + -180 = 0
0 + -175x + 45x2 = 180 + -180
-175x + 45x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-175x + 45x2 = 0

Solving
-175x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-35 + 9x) = 0

Ignore the factor 5.

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 '(-35 + 9x)' equal to zero and attempt to solve:

Simplifying
-35 + 9x = 0

Solving
-35 + 9x = 0

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

Add '35' to each side of the equation.
-35 + 35 + 9x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 9x = 0 + 35
9x = 0 + 35

Combine like terms: 0 + 35 = 35
9x = 35

Divide each side by '9'.
x = 3.888888889

Simplifying
x = 3.888888889
Solution
x = {0, 3.888888889}

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