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Simplifying
(10x + -12)(10x + 12) = 0
Reorder the terms:
(-12 + 10x)(10x + 12) = 0
Reorder the terms:
(-12 + 10x)(12 + 10x) = 0
Multiply (-12 + 10x) * (12 + 10x)
(-12(12 + 10x) + 10x * (12 + 10x)) = 0
((12 * -12 + 10x * -12) + 10x * (12 + 10x)) = 0
((-144 + -120x) + 10x * (12 + 10x)) = 0
(-144 + -120x + (12 * 10x + 10x * 10x)) = 0
(-144 + -120x + (120x + 100x2)) = 0
Combine like terms: -120x + 120x = 0
(-144 + 0 + 100x2) = 0
(-144 + 100x2) = 0
Solving
-144 + 100x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '144' to each side of the equation.
-144 + 144 + 100x2 = 0 + 144
Combine like terms: -144 + 144 = 0
0 + 100x2 = 0 + 144
100x2 = 0 + 144
Combine like terms: 0 + 144 = 144
100x2 = 144
Divide each side by '100'.
x2 = 1.44
Simplifying
x2 = 1.44
Take the square root of each side:
x = {-1.2, 1.2}
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