(3x-1)(3x-1)-(3x-1)(3x+1)=-12

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Solution for (3x-1)(3x-1)-(3x-1)(3x+1)=-12 equation:


Simplifying
(3x + -1)(3x + -1) + -1(3x + -1)(3x + 1) = -12

Reorder the terms:
(-1 + 3x)(3x + -1) + -1(3x + -1)(3x + 1) = -12

Reorder the terms:
(-1 + 3x)(-1 + 3x) + -1(3x + -1)(3x + 1) = -12

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) + -1(3x + -1)(3x + 1) = -12
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) + -1(3x + -1)(3x + 1) = -12
((1 + -3x) + 3x * (-1 + 3x)) + -1(3x + -1)(3x + 1) = -12
(1 + -3x + (-1 * 3x + 3x * 3x)) + -1(3x + -1)(3x + 1) = -12
(1 + -3x + (-3x + 9x2)) + -1(3x + -1)(3x + 1) = -12

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) + -1(3x + -1)(3x + 1) = -12

Reorder the terms:
1 + -6x + 9x2 + -1(-1 + 3x)(3x + 1) = -12

Reorder the terms:
1 + -6x + 9x2 + -1(-1 + 3x)(1 + 3x) = -12

Multiply (-1 + 3x) * (1 + 3x)
1 + -6x + 9x2 + -1(-1(1 + 3x) + 3x * (1 + 3x)) = -12
1 + -6x + 9x2 + -1((1 * -1 + 3x * -1) + 3x * (1 + 3x)) = -12
1 + -6x + 9x2 + -1((-1 + -3x) + 3x * (1 + 3x)) = -12
1 + -6x + 9x2 + -1(-1 + -3x + (1 * 3x + 3x * 3x)) = -12
1 + -6x + 9x2 + -1(-1 + -3x + (3x + 9x2)) = -12

Combine like terms: -3x + 3x = 0
1 + -6x + 9x2 + -1(-1 + 0 + 9x2) = -12
1 + -6x + 9x2 + -1(-1 + 9x2) = -12
1 + -6x + 9x2 + (-1 * -1 + 9x2 * -1) = -12
1 + -6x + 9x2 + (1 + -9x2) = -12

Reorder the terms:
1 + 1 + -6x + 9x2 + -9x2 = -12

Combine like terms: 1 + 1 = 2
2 + -6x + 9x2 + -9x2 = -12

Combine like terms: 9x2 + -9x2 = 0
2 + -6x + 0 = -12
2 + -6x = -12

Solving
2 + -6x = -12

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -6x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -12 + -2
-6x = -12 + -2

Combine like terms: -12 + -2 = -14
-6x = -14

Divide each side by '-6'.
x = 2.333333333

Simplifying
x = 2.333333333

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