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Simplifying 2x2 + 3x + -5 = x2 + -5x + -17 Reorder the terms: -5 + 3x + 2x2 = x2 + -5x + -17 Reorder the terms: -5 + 3x + 2x2 = -17 + -5x + x2 Solving -5 + 3x + 2x2 = -17 + -5x + x2 Solving for variable 'x'. Reorder the terms: -5 + 17 + 3x + 5x + 2x2 + -1x2 = -17 + -5x + x2 + 17 + 5x + -1x2 Combine like terms: -5 + 17 = 12 12 + 3x + 5x + 2x2 + -1x2 = -17 + -5x + x2 + 17 + 5x + -1x2 Combine like terms: 3x + 5x = 8x 12 + 8x + 2x2 + -1x2 = -17 + -5x + x2 + 17 + 5x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 12 + 8x + 1x2 = -17 + -5x + x2 + 17 + 5x + -1x2 Reorder the terms: 12 + 8x + 1x2 = -17 + 17 + -5x + 5x + x2 + -1x2 Combine like terms: -17 + 17 = 0 12 + 8x + 1x2 = 0 + -5x + 5x + x2 + -1x2 12 + 8x + 1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 12 + 8x + 1x2 = 0 + x2 + -1x2 12 + 8x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + 8x + 1x2 = 0 Factor a trinomial. (6 + x)(2 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-6, -2}
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