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Simplifying x2 + -8x + 7 = 112 Reorder the terms: 7 + -8x + x2 = 112 Solving 7 + -8x + x2 = 112 Solving for variable 'x'. Reorder the terms: 7 + -112 + -8x + x2 = 112 + -112 Combine like terms: 7 + -112 = -105 -105 + -8x + x2 = 112 + -112 Combine like terms: 112 + -112 = 0 -105 + -8x + x2 = 0 Factor a trinomial. (-7 + -1x)(15 + -1x) = 0Subproblem 1
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 = -7Subproblem 2
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 = 15Solution
x = {-7, 15}
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