7(3x-2)(3x-2)-63=

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Solution for 7(3x-2)(3x-2)-63= equation: 


Simplifying
7(3x + -2)(3x + -2) + -63 = 0

Reorder the terms:
7(-2 + 3x)(3x + -2) + -63 = 0

Reorder the terms:
7(-2 + 3x)(-2 + 3x) + -63 = 0

Multiply (-2 + 3x) * (-2 + 3x)
7(-2(-2 + 3x) + 3x * (-2 + 3x)) + -63 = 0
7((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) + -63 = 0
7((4 + -6x) + 3x * (-2 + 3x)) + -63 = 0
7(4 + -6x + (-2 * 3x + 3x * 3x)) + -63 = 0
7(4 + -6x + (-6x + 9x2)) + -63 = 0

Combine like terms: -6x + -6x = -12x
7(4 + -12x + 9x2) + -63 = 0
(4 * 7 + -12x * 7 + 9x2 * 7) + -63 = 0
(28 + -84x + 63x2) + -63 = 0

Reorder the terms:
28 + -63 + -84x + 63x2 = 0

Combine like terms: 28 + -63 = -35
-35 + -84x + 63x2 = 0

Solving
-35 + -84x + 63x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-5 + -12x + 9x2) = 0

Factor a trinomial.
7((-1 + -3x)(5 + -3x)) = 0

Ignore the factor 7.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-0.3333333333, 1.666666667}

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