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Simplifying 9x2 + -34x = -25 Reorder the terms: -34x + 9x2 = -25 Solving -34x + 9x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + -34x + 9x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -34x + 9x2 = 0 Factor a trinomial. (1 + -1x)(25 + -9x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(25 + -9x)' equal to zero and attempt to solve: Simplifying 25 + -9x = 0 Solving 25 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 0 + -25 -9x = 0 + -25 Combine like terms: 0 + -25 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778Solution
x = {1, 2.777777778}
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