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Simplifying 2x2 + 5x + -12 = 285 Reorder the terms: -12 + 5x + 2x2 = 285 Solving -12 + 5x + 2x2 = 285 Solving for variable 'x'. Reorder the terms: -12 + -285 + 5x + 2x2 = 285 + -285 Combine like terms: -12 + -285 = -297 -297 + 5x + 2x2 = 285 + -285 Combine like terms: 285 + -285 = 0 -297 + 5x + 2x2 = 0 Factor a trinomial. (-27 + -2x)(11 + -1x) = 0Subproblem 1
Set the factor '(-27 + -2x)' equal to zero and attempt to solve: Simplifying -27 + -2x = 0 Solving -27 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -2x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = 0 + 27 -2x = 0 + 27 Combine like terms: 0 + 27 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-13.5, 11}
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