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