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Simplifying -5(x + 2)(3x + 5) + 15(x2 + -1) = 0 Reorder the terms: -5(2 + x)(3x + 5) + 15(x2 + -1) = 0 Reorder the terms: -5(2 + x)(5 + 3x) + 15(x2 + -1) = 0 Multiply (2 + x) * (5 + 3x) -5(2(5 + 3x) + x(5 + 3x)) + 15(x2 + -1) = 0 -5((5 * 2 + 3x * 2) + x(5 + 3x)) + 15(x2 + -1) = 0 -5((10 + 6x) + x(5 + 3x)) + 15(x2 + -1) = 0 -5(10 + 6x + (5 * x + 3x * x)) + 15(x2 + -1) = 0 -5(10 + 6x + (5x + 3x2)) + 15(x2 + -1) = 0 Combine like terms: 6x + 5x = 11x -5(10 + 11x + 3x2) + 15(x2 + -1) = 0 (10 * -5 + 11x * -5 + 3x2 * -5) + 15(x2 + -1) = 0 (-50 + -55x + -15x2) + 15(x2 + -1) = 0 Reorder the terms: -50 + -55x + -15x2 + 15(-1 + x2) = 0 -50 + -55x + -15x2 + (-1 * 15 + x2 * 15) = 0 -50 + -55x + -15x2 + (-15 + 15x2) = 0 Reorder the terms: -50 + -15 + -55x + -15x2 + 15x2 = 0 Combine like terms: -50 + -15 = -65 -65 + -55x + -15x2 + 15x2 = 0 Combine like terms: -15x2 + 15x2 = 0 -65 + -55x + 0 = 0 -65 + -55x = 0 Solving -65 + -55x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -55x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -55x = 0 + 65 -55x = 0 + 65 Combine like terms: 0 + 65 = 65 -55x = 65 Divide each side by '-55'. x = -1.181818182 Simplifying x = -1.181818182
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