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Simplifying 2x2 + 8x + -42 = x2 + 7x + 168 Reorder the terms: -42 + 8x + 2x2 = x2 + 7x + 168 Reorder the terms: -42 + 8x + 2x2 = 168 + 7x + x2 Solving -42 + 8x + 2x2 = 168 + 7x + x2 Solving for variable 'x'. Reorder the terms: -42 + -168 + 8x + -7x + 2x2 + -1x2 = 168 + 7x + x2 + -168 + -7x + -1x2 Combine like terms: -42 + -168 = -210 -210 + 8x + -7x + 2x2 + -1x2 = 168 + 7x + x2 + -168 + -7x + -1x2 Combine like terms: 8x + -7x = 1x -210 + 1x + 2x2 + -1x2 = 168 + 7x + x2 + -168 + -7x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -210 + 1x + 1x2 = 168 + 7x + x2 + -168 + -7x + -1x2 Reorder the terms: -210 + 1x + 1x2 = 168 + -168 + 7x + -7x + x2 + -1x2 Combine like terms: 168 + -168 = 0 -210 + 1x + 1x2 = 0 + 7x + -7x + x2 + -1x2 -210 + 1x + 1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 -210 + 1x + 1x2 = 0 + x2 + -1x2 -210 + 1x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -210 + 1x + 1x2 = 0 Factor a trinomial. (-15 + -1x)(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-15, 14}
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