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Simplifying x2 = 9x + 112 Reorder the terms: x2 = 112 + 9x Solving x2 = 112 + 9x Solving for variable 'x'. Reorder the terms: -112 + -9x + x2 = 112 + 9x + -112 + -9x Reorder the terms: -112 + -9x + x2 = 112 + -112 + 9x + -9x Combine like terms: 112 + -112 = 0 -112 + -9x + x2 = 0 + 9x + -9x -112 + -9x + x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -112 + -9x + x2 = 0 Factor a trinomial. (-7 + -1x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-7, 16}
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