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Simplifying 2x2 + -36 + 8x + 2 + 5x + 25 = 180 Reorder the terms: -36 + 2 + 25 + 8x + 5x + 2x2 = 180 Combine like terms: -36 + 2 = -34 -34 + 25 + 8x + 5x + 2x2 = 180 Combine like terms: -34 + 25 = -9 -9 + 8x + 5x + 2x2 = 180 Combine like terms: 8x + 5x = 13x -9 + 13x + 2x2 = 180 Solving -9 + 13x + 2x2 = 180 Solving for variable 'x'. Reorder the terms: -9 + -180 + 13x + 2x2 = 180 + -180 Combine like terms: -9 + -180 = -189 -189 + 13x + 2x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -189 + 13x + 2x2 = 0 Factor a trinomial. (-27 + -2x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-13.5, 7}
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