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Simplifying 40x + 80 = x2 + -4 + 42x + -84 Reorder the terms: 80 + 40x = x2 + -4 + 42x + -84 Reorder the terms: 80 + 40x = -4 + -84 + 42x + x2 Combine like terms: -4 + -84 = -88 80 + 40x = -88 + 42x + x2 Solving 80 + 40x = -88 + 42x + x2 Solving for variable 'x'. Reorder the terms: 80 + 88 + 40x + -42x + -1x2 = -88 + 42x + x2 + 88 + -42x + -1x2 Combine like terms: 80 + 88 = 168 168 + 40x + -42x + -1x2 = -88 + 42x + x2 + 88 + -42x + -1x2 Combine like terms: 40x + -42x = -2x 168 + -2x + -1x2 = -88 + 42x + x2 + 88 + -42x + -1x2 Reorder the terms: 168 + -2x + -1x2 = -88 + 88 + 42x + -42x + x2 + -1x2 Combine like terms: -88 + 88 = 0 168 + -2x + -1x2 = 0 + 42x + -42x + x2 + -1x2 168 + -2x + -1x2 = 42x + -42x + x2 + -1x2 Combine like terms: 42x + -42x = 0 168 + -2x + -1x2 = 0 + x2 + -1x2 168 + -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 168 + -2x + -1x2 = 0 Factor a trinomial. (12 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 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 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {12, -14}
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