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Simplifying (x + 5)(x + 2) + -1x2 = 0 Reorder the terms: (5 + x)(x + 2) + -1x2 = 0 Reorder the terms: (5 + x)(2 + x) + -1x2 = 0 Multiply (5 + x) * (2 + x) (5(2 + x) + x(2 + x)) + -1x2 = 0 ((2 * 5 + x * 5) + x(2 + x)) + -1x2 = 0 ((10 + 5x) + x(2 + x)) + -1x2 = 0 (10 + 5x + (2 * x + x * x)) + -1x2 = 0 (10 + 5x + (2x + x2)) + -1x2 = 0 Combine like terms: 5x + 2x = 7x (10 + 7x + x2) + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 10 + 7x + 0 = 0 10 + 7x = 0 Solving 10 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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