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Simplifying
9x2 + -12 = -3x2 + 12
Reorder the terms:
-12 + 9x2 = -3x2 + 12
Reorder the terms:
-12 + 9x2 = 12 + -3x2
Solving
-12 + 9x2 = 12 + -3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x2' to each side of the equation.
-12 + 9x2 + 3x2 = 12 + -3x2 + 3x2
Combine like terms: 9x2 + 3x2 = 12x2
-12 + 12x2 = 12 + -3x2 + 3x2
Combine like terms: -3x2 + 3x2 = 0
-12 + 12x2 = 12 + 0
-12 + 12x2 = 12
Add '12' to each side of the equation.
-12 + 12 + 12x2 = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 12x2 = 12 + 12
12x2 = 12 + 12
Combine like terms: 12 + 12 = 24
12x2 = 24
Divide each side by '12'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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