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Simplifying 0 = x2 + -25x + 144 Reorder the terms: 0 = 144 + -25x + x2 Solving 0 = 144 + -25x + x2 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + 25x + -1x2 = 144 + -25x + x2 + -144 + 25x + -1x2 Reorder the terms: -144 + 25x + -1x2 = 144 + -144 + -25x + 25x + x2 + -1x2 Combine like terms: 144 + -144 = 0 -144 + 25x + -1x2 = 0 + -25x + 25x + x2 + -1x2 -144 + 25x + -1x2 = -25x + 25x + x2 + -1x2 Combine like terms: -25x + 25x = 0 -144 + 25x + -1x2 = 0 + x2 + -1x2 -144 + 25x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -144 + 25x + -1x2 = 0 Factor a trinomial. (-16 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 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 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Subproblem 2
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 = 9Solution
x = {16, 9}
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