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Simplifying 0 = 14x2 + -25x + 9 Reorder the terms: 0 = 9 + -25x + 14x2 Solving 0 = 9 + -25x + 14x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 25x + -14x2 = 9 + -25x + 14x2 + -9 + 25x + -14x2 Reorder the terms: -9 + 25x + -14x2 = 9 + -9 + -25x + 25x + 14x2 + -14x2 Combine like terms: 9 + -9 = 0 -9 + 25x + -14x2 = 0 + -25x + 25x + 14x2 + -14x2 -9 + 25x + -14x2 = -25x + 25x + 14x2 + -14x2 Combine like terms: -25x + 25x = 0 -9 + 25x + -14x2 = 0 + 14x2 + -14x2 -9 + 25x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -9 + 25x + -14x2 = 0 Factor a trinomial. (-9 + 7x)(1 + -2x) = 0Subproblem 1
Set the factor '(-9 + 7x)' equal to zero and attempt to solve: Simplifying -9 + 7x = 0 Solving -9 + 7x = 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 + 7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 0 + 9 7x = 0 + 9 Combine like terms: 0 + 9 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {1.285714286, 0.5}
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