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Simplifying -1x2 + 2x + 18 = 5x + -10 Reorder the terms: 18 + 2x + -1x2 = 5x + -10 Reorder the terms: 18 + 2x + -1x2 = -10 + 5x Solving 18 + 2x + -1x2 = -10 + 5x Solving for variable 'x'. Reorder the terms: 18 + 10 + 2x + -5x + -1x2 = -10 + 5x + 10 + -5x Combine like terms: 18 + 10 = 28 28 + 2x + -5x + -1x2 = -10 + 5x + 10 + -5x Combine like terms: 2x + -5x = -3x 28 + -3x + -1x2 = -10 + 5x + 10 + -5x Reorder the terms: 28 + -3x + -1x2 = -10 + 10 + 5x + -5x Combine like terms: -10 + 10 = 0 28 + -3x + -1x2 = 0 + 5x + -5x 28 + -3x + -1x2 = 5x + -5x Combine like terms: 5x + -5x = 0 28 + -3x + -1x2 = 0 Factor a trinomial. (4 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {4, -7}
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