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Simplifying
12x2 + 108 = 189 + 3x2
Reorder the terms:
108 + 12x2 = 189 + 3x2
Solving
108 + 12x2 = 189 + 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.
108 + 12x2 + -3x2 = 189 + 3x2 + -3x2
Combine like terms: 12x2 + -3x2 = 9x2
108 + 9x2 = 189 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
108 + 9x2 = 189 + 0
108 + 9x2 = 189
Add '-108' to each side of the equation.
108 + -108 + 9x2 = 189 + -108
Combine like terms: 108 + -108 = 0
0 + 9x2 = 189 + -108
9x2 = 189 + -108
Combine like terms: 189 + -108 = 81
9x2 = 81
Divide each side by '9'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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