(3x-1)(3x-1)=64

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Solution for (3x-1)(3x-1)=64 equation: 


Simplifying
(3x + -1)(3x + -1) = 64

Reorder the terms:
(-1 + 3x)(3x + -1) = 64

Reorder the terms:
(-1 + 3x)(-1 + 3x) = 64

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) = 64
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) = 64
((1 + -3x) + 3x * (-1 + 3x)) = 64
(1 + -3x + (-1 * 3x + 3x * 3x)) = 64
(1 + -3x + (-3x + 9x2)) = 64

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) = 64

Solving
1 + -6x + 9x2 = 64

Solving for variable 'x'.

Reorder the terms:
1 + -64 + -6x + 9x2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + -6x + 9x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + -6x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -2x + 3x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-2.333333333, 3}

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