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Simplifying 9x2 + 128x + -256 = 0 Reorder the terms: -256 + 128x + 9x2 = 0 Solving -256 + 128x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-16 + -1x)(16 + -9x) = 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 '(16 + -9x)' equal to zero and attempt to solve: Simplifying 16 + -9x = 0 Solving 16 + -9x = 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 + -9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 0 + -16 -9x = 0 + -16 Combine like terms: 0 + -16 = -16 -9x = -16 Divide each side by '-9'. x = 1.777777778 Simplifying x = 1.777777778Solution
x = {-16, 1.777777778}
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