-(6x-9)(6x-9)=

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Solution for -(6x-9)(6x-9)= equation: 


Simplifying
-1(6x + -9)(6x + -9) = 0

Reorder the terms:
-1(-9 + 6x)(6x + -9) = 0

Reorder the terms:
-1(-9 + 6x)(-9 + 6x) = 0

Multiply (-9 + 6x) * (-9 + 6x)
-1(-9(-9 + 6x) + 6x * (-9 + 6x)) = 0
-1((-9 * -9 + 6x * -9) + 6x * (-9 + 6x)) = 0
-1((81 + -54x) + 6x * (-9 + 6x)) = 0
-1(81 + -54x + (-9 * 6x + 6x * 6x)) = 0
-1(81 + -54x + (-54x + 36x2)) = 0

Combine like terms: -54x + -54x = -108x
-1(81 + -108x + 36x2) = 0
(81 * -1 + -108x * -1 + 36x2 * -1) = 0
(-81 + 108x + -36x2) = 0

Solving
-81 + 108x + -36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-9 + 12x + -4x2) = 0

Factor a trinomial.
9((-3 + 2x)(3 + -2x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {1.5, 1.5}

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