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Simplifying 0 = 9x2 + -25x + 14 Reorder the terms: 0 = 14 + -25x + 9x2 Solving 0 = 14 + -25x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -14 = -14 -14 + 25x + -9x2 = 14 + -25x + 9x2 + -14 + 25x + -9x2 Reorder the terms: -14 + 25x + -9x2 = 14 + -14 + -25x + 25x + 9x2 + -9x2 Combine like terms: 14 + -14 = 0 -14 + 25x + -9x2 = 0 + -25x + 25x + 9x2 + -9x2 -14 + 25x + -9x2 = -25x + 25x + 9x2 + -9x2 Combine like terms: -25x + 25x = 0 -14 + 25x + -9x2 = 0 + 9x2 + -9x2 -14 + 25x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -14 + 25x + -9x2 = 0 Factor a trinomial. (-2 + x)(7 + -9x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {2, 0.7777777778}
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