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Simplifying 9x2 + -97x + 144 = 0 Reorder the terms: 144 + -97x + 9x2 = 0 Solving 144 + -97x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + -9x)(9 + -1x) = 0Subproblem 1
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 = 1.777777778Subproblem 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 = {1.777777778, 9}
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