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Simplifying -2x2 + 3x + 12 = 10 Reorder the terms: 12 + 3x + -2x2 = 10 Solving 12 + 3x + -2x2 = 10 Solving for variable 'x'. Reorder the terms: 12 + -10 + 3x + -2x2 = 10 + -10 Combine like terms: 12 + -10 = 2 2 + 3x + -2x2 = 10 + -10 Combine like terms: 10 + -10 = 0 2 + 3x + -2x2 = 0 Factor a trinomial. (2 + -1x)(1 + 2x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {2, -0.5}
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