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Simplifying
3x2 + 3 = 2x2 + 12
Reorder the terms:
3 + 3x2 = 2x2 + 12
Reorder the terms:
3 + 3x2 = 12 + 2x2
Solving
3 + 3x2 = 12 + 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
3 + 3x2 + -2x2 = 12 + 2x2 + -2x2
Combine like terms: 3x2 + -2x2 = 1x2
3 + 1x2 = 12 + 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
3 + 1x2 = 12 + 0
3 + 1x2 = 12
Add '-3' to each side of the equation.
3 + -3 + 1x2 = 12 + -3
Combine like terms: 3 + -3 = 0
0 + 1x2 = 12 + -3
1x2 = 12 + -3
Combine like terms: 12 + -3 = 9
1x2 = 9
Divide each side by '1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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