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Simplifying 144 = x2 + -7x Reorder the terms: 144 = -7x + x2 Solving 144 = -7x + x2 Solving for variable 'x'. Reorder the terms: 144 + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 144 + 7x + -1x2 = 0 + x2 + -1x2 144 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 144 + 7x + -1x2 = 0 Factor a trinomial. (16 + -1x)(9 + x) = 0Subproblem 1
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 = 16Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {16, -9}
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