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Simplifying
2x2 + -5x + -12 = -5x
Reorder the terms:
-12 + -5x + 2x2 = -5x
Add '5x' to each side of the equation.
-12 + -5x + 5x + 2x2 = -5x + 5x
Combine like terms: -5x + 5x = 0
-12 + 0 + 2x2 = -5x + 5x
-12 + 2x2 = -5x + 5x
Combine like terms: -5x + 5x = 0
-12 + 2x2 = 0
Solving
-12 + 2x2 = 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 + 2x2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 2x2 = 0 + 12
2x2 = 0 + 12
Combine like terms: 0 + 12 = 12
2x2 = 12
Divide each side by '2'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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