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Simplifying
36x2 + -48x2 + 12 = 0
Reorder the terms:
12 + 36x2 + -48x2 = 0
Combine like terms: 36x2 + -48x2 = -12x2
12 + -12x2 = 0
Solving
12 + -12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -12x2 = 0 + -12
Combine like terms: 12 + -12 = 0
0 + -12x2 = 0 + -12
-12x2 = 0 + -12
Combine like terms: 0 + -12 = -12
-12x2 = -12
Divide each side by '-12'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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