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Simplifying
(5x + -12)(5x + 12) = 0
Reorder the terms:
(-12 + 5x)(5x + 12) = 0
Reorder the terms:
(-12 + 5x)(12 + 5x) = 0
Multiply (-12 + 5x) * (12 + 5x)
(-12(12 + 5x) + 5x * (12 + 5x)) = 0
((12 * -12 + 5x * -12) + 5x * (12 + 5x)) = 0
((-144 + -60x) + 5x * (12 + 5x)) = 0
(-144 + -60x + (12 * 5x + 5x * 5x)) = 0
(-144 + -60x + (60x + 25x2)) = 0
Combine like terms: -60x + 60x = 0
(-144 + 0 + 25x2) = 0
(-144 + 25x2) = 0
Solving
-144 + 25x2 = 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 + 25x2 = 0 + 144
Combine like terms: -144 + 144 = 0
0 + 25x2 = 0 + 144
25x2 = 0 + 144
Combine like terms: 0 + 144 = 144
25x2 = 144
Divide each side by '25'.
x2 = 5.76
Simplifying
x2 = 5.76
Take the square root of each side:
x = {-2.4, 2.4}
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