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Simplifying x2 + -20 = 3x + -12 + 5x + -15 Reorder the terms: -20 + x2 = 3x + -12 + 5x + -15 Reorder the terms: -20 + x2 = -12 + -15 + 3x + 5x Combine like terms: -12 + -15 = -27 -20 + x2 = -27 + 3x + 5x Combine like terms: 3x + 5x = 8x -20 + x2 = -27 + 8x Solving -20 + x2 = -27 + 8x Solving for variable 'x'. Reorder the terms: -20 + 27 + -8x + x2 = -27 + 8x + 27 + -8x Combine like terms: -20 + 27 = 7 7 + -8x + x2 = -27 + 8x + 27 + -8x Reorder the terms: 7 + -8x + x2 = -27 + 27 + 8x + -8x Combine like terms: -27 + 27 = 0 7 + -8x + x2 = 0 + 8x + -8x 7 + -8x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 7 + -8x + x2 = 0 Factor a trinomial. (1 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, 7}
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