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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 = -273 -273 + 5x + 2x2 = 285 + -285 Combine like terms: 285 + -285 = 0 -273 + 5x + 2x2 = 0 Factor a trinomial. (-13 + -1x)(21 + -2x) = 0Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13Subproblem 2
Set the factor '(21 + -2x)' equal to zero and attempt to solve: Simplifying 21 + -2x = 0 Solving 21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 0 + -21 -2x = 0 + -21 Combine like terms: 0 + -21 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5Solution
x = {-13, 10.5}
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