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Simplifying
3x2 + 2x + -12 = 2x
Reorder the terms:
-12 + 2x + 3x2 = 2x
Add '-2x' to each side of the equation.
-12 + 2x + -2x + 3x2 = 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 0 + 3x2 = 2x + -2x
-12 + 3x2 = 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 3x2 = 0
Solving
-12 + 3x2 = 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 + 3x2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 3x2 = 0 + 12
3x2 = 0 + 12
Combine like terms: 0 + 12 = 12
3x2 = 12
Divide each side by '3'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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