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Simplifying 5x2 + -14 = (5x + 2)(x + -9) Reorder the terms: -14 + 5x2 = (5x + 2)(x + -9) Reorder the terms: -14 + 5x2 = (2 + 5x)(x + -9) Reorder the terms: -14 + 5x2 = (2 + 5x)(-9 + x) Multiply (2 + 5x) * (-9 + x) -14 + 5x2 = (2(-9 + x) + 5x * (-9 + x)) -14 + 5x2 = ((-9 * 2 + x * 2) + 5x * (-9 + x)) -14 + 5x2 = ((-18 + 2x) + 5x * (-9 + x)) -14 + 5x2 = (-18 + 2x + (-9 * 5x + x * 5x)) -14 + 5x2 = (-18 + 2x + (-45x + 5x2)) Combine like terms: 2x + -45x = -43x -14 + 5x2 = (-18 + -43x + 5x2) Add '-5x2' to each side of the equation. -14 + 5x2 + -5x2 = -18 + -43x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -14 + 0 = -18 + -43x + 5x2 + -5x2 -14 = -18 + -43x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -14 = -18 + -43x + 0 -14 = -18 + -43x Solving -14 = -18 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. -14 + 43x = -18 + -43x + 43x Combine like terms: -43x + 43x = 0 -14 + 43x = -18 + 0 -14 + 43x = -18 Add '14' to each side of the equation. -14 + 14 + 43x = -18 + 14 Combine like terms: -14 + 14 = 0 0 + 43x = -18 + 14 43x = -18 + 14 Combine like terms: -18 + 14 = -4 43x = -4 Divide each side by '43'. x = -0.09302325581 Simplifying x = -0.09302325581
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