((3x-1)(3x-1))-16=0

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Solution for ((3x-1)(3x-1))-16=0 equation: 


Simplifying
((3x + -1)(3x + -1)) + -16 = 0

Reorder the terms:
((-1 + 3x)(3x + -1)) + -16 = 0

Reorder the terms:
((-1 + 3x)(-1 + 3x)) + -16 = 0

Multiply (-1 + 3x) * (-1 + 3x)
((-1(-1 + 3x) + 3x * (-1 + 3x))) + -16 = 0
(((-1 * -1 + 3x * -1) + 3x * (-1 + 3x))) + -16 = 0
(((1 + -3x) + 3x * (-1 + 3x))) + -16 = 0
((1 + -3x + (-1 * 3x + 3x * 3x))) + -16 = 0
((1 + -3x + (-3x + 9x2))) + -16 = 0

Combine like terms: -3x + -3x = -6x
((1 + -6x + 9x2)) + -16 = 0
(1 + -6x + 9x2) + -16 = 0

Remove parenthesis around (1 + -6x + 9x2)
1 + -6x + 9x2 + -16 = 0

Reorder the terms:
1 + -16 + -6x + 9x2 = 0

Combine like terms: 1 + -16 = -15
-15 + -6x + 9x2 = 0

Solving
-15 + -6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -2x + 3x2) = 0

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

Ignore the factor 3.

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1

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 = {-1, 1.666666667}

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