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Simplifying 5x + 30 = x2 + -8x Reorder the terms: 30 + 5x = x2 + -8x Reorder the terms: 30 + 5x = -8x + x2 Solving 30 + 5x = -8x + x2 Solving for variable 'x'. Combine like terms: 5x + 8x = 13x 30 + 13x + -1x2 = -8x + x2 + 8x + -1x2 Reorder the terms: 30 + 13x + -1x2 = -8x + 8x + x2 + -1x2 Combine like terms: -8x + 8x = 0 30 + 13x + -1x2 = 0 + x2 + -1x2 30 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + 13x + -1x2 = 0 Factor a trinomial. (15 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 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 = {15, -2}
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