(3x-15)(3x-15)=

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Solution for (3x-15)(3x-15)= equation: 


Simplifying
(3x + -15)(3x + -15) = 0

Reorder the terms:
(-15 + 3x)(3x + -15) = 0

Reorder the terms:
(-15 + 3x)(-15 + 3x) = 0

Multiply (-15 + 3x) * (-15 + 3x)
(-15(-15 + 3x) + 3x * (-15 + 3x)) = 0
((-15 * -15 + 3x * -15) + 3x * (-15 + 3x)) = 0
((225 + -45x) + 3x * (-15 + 3x)) = 0
(225 + -45x + (-15 * 3x + 3x * 3x)) = 0
(225 + -45x + (-45x + 9x2)) = 0

Combine like terms: -45x + -45x = -90x
(225 + -90x + 9x2) = 0

Solving
225 + -90x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(25 + -10x + x2) = 0

Factor a trinomial.
9((5 + -1x)(5 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {5, 5}

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