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Simplifying (x + 2)(x + 3) + -1x(x + 2) = 0 Reorder the terms: (2 + x)(x + 3) + -1x(x + 2) = 0 Reorder the terms: (2 + x)(3 + x) + -1x(x + 2) = 0 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) + -1x(x + 2) = 0 ((3 * 2 + x * 2) + x(3 + x)) + -1x(x + 2) = 0 ((6 + 2x) + x(3 + x)) + -1x(x + 2) = 0 (6 + 2x + (3 * x + x * x)) + -1x(x + 2) = 0 (6 + 2x + (3x + x2)) + -1x(x + 2) = 0 Combine like terms: 2x + 3x = 5x (6 + 5x + x2) + -1x(x + 2) = 0 Reorder the terms: 6 + 5x + x2 + -1x(2 + x) = 0 6 + 5x + x2 + (2 * -1x + x * -1x) = 0 6 + 5x + x2 + (-2x + -1x2) = 0 Reorder the terms: 6 + 5x + -2x + x2 + -1x2 = 0 Combine like terms: 5x + -2x = 3x 6 + 3x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 6 + 3x + 0 = 0 6 + 3x = 0 Solving 6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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