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Simplifying x2 = 7x + 144 Reorder the terms: x2 = 144 + 7x Solving x2 = 144 + 7x Solving for variable 'x'. Reorder the terms: -144 + -7x + x2 = 144 + 7x + -144 + -7x Reorder the terms: -144 + -7x + x2 = 144 + -144 + 7x + -7x Combine like terms: 144 + -144 = 0 -144 + -7x + x2 = 0 + 7x + -7x -144 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -144 + -7x + x2 = 0 Factor a trinomial. (-9 + -1x)(16 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 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 = {-9, 16}
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