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Simplifying (x + 2)(x + 5) = x * x + 3 * 3 Reorder the terms: (2 + x)(x + 5) = x * x + 3 * 3 Reorder the terms: (2 + x)(5 + x) = x * x + 3 * 3 Multiply (2 + x) * (5 + x) (2(5 + x) + x(5 + x)) = x * x + 3 * 3 ((5 * 2 + x * 2) + x(5 + x)) = x * x + 3 * 3 ((10 + 2x) + x(5 + x)) = x * x + 3 * 3 (10 + 2x + (5 * x + x * x)) = x * x + 3 * 3 (10 + 2x + (5x + x2)) = x * x + 3 * 3 Combine like terms: 2x + 5x = 7x (10 + 7x + x2) = x * x + 3 * 3 Multiply x * x 10 + 7x + x2 = x2 + 3 * 3 Multiply 3 * 3 10 + 7x + x2 = x2 + 9 Reorder the terms: 10 + 7x + x2 = 9 + x2 Add '-1x2' to each side of the equation. 10 + 7x + x2 + -1x2 = 9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 7x + 0 = 9 + x2 + -1x2 10 + 7x = 9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 7x = 9 + 0 10 + 7x = 9 Solving 10 + 7x = 9 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 = 9 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 9 + -10 7x = 9 + -10 Combine like terms: 9 + -10 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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