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Simplifying
(12x + -10)(12x + 10) = 0
Reorder the terms:
(-10 + 12x)(12x + 10) = 0
Reorder the terms:
(-10 + 12x)(10 + 12x) = 0
Multiply (-10 + 12x) * (10 + 12x)
(-10(10 + 12x) + 12x * (10 + 12x)) = 0
((10 * -10 + 12x * -10) + 12x * (10 + 12x)) = 0
((-100 + -120x) + 12x * (10 + 12x)) = 0
(-100 + -120x + (10 * 12x + 12x * 12x)) = 0
(-100 + -120x + (120x + 144x2)) = 0
Combine like terms: -120x + 120x = 0
(-100 + 0 + 144x2) = 0
(-100 + 144x2) = 0
Solving
-100 + 144x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '100' to each side of the equation.
-100 + 100 + 144x2 = 0 + 100
Combine like terms: -100 + 100 = 0
0 + 144x2 = 0 + 100
144x2 = 0 + 100
Combine like terms: 0 + 100 = 100
144x2 = 100
Divide each side by '144'.
x2 = 0.6944444444
Simplifying
x2 = 0.6944444444
Take the square root of each side:
x = {-0.833333333, 0.833333333}
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