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