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Simplifying x(5x + -9) = 14 Reorder the terms: x(-9 + 5x) = 14 (-9 * x + 5x * x) = 14 (-9x + 5x2) = 14 Solving -9x + 5x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + -9x + 5x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -9x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(14 + -5x) = 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 '(14 + -5x)' equal to zero and attempt to solve: Simplifying 14 + -5x = 0 Solving 14 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8Solution
x = {-1, 2.8}
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