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Simplifying x2 + -3x + -10 = (x + 2)(x + 5) Reorder the terms: -10 + -3x + x2 = (x + 2)(x + 5) Reorder the terms: -10 + -3x + x2 = (2 + x)(x + 5) Reorder the terms: -10 + -3x + x2 = (2 + x)(5 + x) Multiply (2 + x) * (5 + x) -10 + -3x + x2 = (2(5 + x) + x(5 + x)) -10 + -3x + x2 = ((5 * 2 + x * 2) + x(5 + x)) -10 + -3x + x2 = ((10 + 2x) + x(5 + x)) -10 + -3x + x2 = (10 + 2x + (5 * x + x * x)) -10 + -3x + x2 = (10 + 2x + (5x + x2)) Combine like terms: 2x + 5x = 7x -10 + -3x + x2 = (10 + 7x + x2) Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = 10 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = 10 + 7x + x2 + -1x2 -10 + -3x = 10 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = 10 + 7x + 0 -10 + -3x = 10 + 7x Solving -10 + -3x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + -3x + -7x = 10 + 7x + -7x Combine like terms: -3x + -7x = -10x -10 + -10x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -10x = 10 + 0 -10 + -10x = 10 Add '10' to each side of the equation. -10 + 10 + -10x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 10 + 10 -10x = 10 + 10 Combine like terms: 10 + 10 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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