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Simplifying
3x2 + 4 + -12 = 0
Reorder the terms:
4 + -12 + 3x2 = 0
Combine like terms: 4 + -12 = -8
-8 + 3x2 = 0
Solving
-8 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 3x2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 3x2 = 0 + 8
3x2 = 0 + 8
Combine like terms: 0 + 8 = 8
3x2 = 8
Divide each side by '3'.
x2 = 2.666666667
Simplifying
x2 = 2.666666667
Take the square root of each side:
x = {-1.632993162, 1.632993162}
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