(6x-5)(6x+5)=12

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Solution for (6x-5)(6x+5)=12 equation: 


Simplifying
(6x + -5)(6x + 5) = 12

Reorder the terms:
(-5 + 6x)(6x + 5) = 12

Reorder the terms:
(-5 + 6x)(5 + 6x) = 12

Multiply (-5 + 6x) * (5 + 6x)
(-5(5 + 6x) + 6x * (5 + 6x)) = 12
((5 * -5 + 6x * -5) + 6x * (5 + 6x)) = 12
((-25 + -30x) + 6x * (5 + 6x)) = 12
(-25 + -30x + (5 * 6x + 6x * 6x)) = 12
(-25 + -30x + (30x + 36x2)) = 12

Combine like terms: -30x + 30x = 0
(-25 + 0 + 36x2) = 12
(-25 + 36x2) = 12

Solving
-25 + 36x2 = 12

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 36x2 = 12 + 25

Combine like terms: -25 + 25 = 0
0 + 36x2 = 12 + 25
36x2 = 12 + 25

Combine like terms: 12 + 25 = 37
36x2 = 37

Divide each side by '36'.
x2 = 1.027777778

Simplifying
x2 = 1.027777778

Take the square root of each side:
x = {-1.013793755, 1.013793755}

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