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Simplifying (x + 2)(x + 3) + -1(x + -3)(2 + -1x) = 0 Reorder the terms: (2 + x)(x + 3) + -1(x + -3)(2 + -1x) = 0 Reorder the terms: (2 + x)(3 + x) + -1(x + -3)(2 + -1x) = 0 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) + -1(x + -3)(2 + -1x) = 0 ((3 * 2 + x * 2) + x(3 + x)) + -1(x + -3)(2 + -1x) = 0 ((6 + 2x) + x(3 + x)) + -1(x + -3)(2 + -1x) = 0 (6 + 2x + (3 * x + x * x)) + -1(x + -3)(2 + -1x) = 0 (6 + 2x + (3x + x2)) + -1(x + -3)(2 + -1x) = 0 Combine like terms: 2x + 3x = 5x (6 + 5x + x2) + -1(x + -3)(2 + -1x) = 0 Reorder the terms: 6 + 5x + x2 + -1(-3 + x)(2 + -1x) = 0 Multiply (-3 + x) * (2 + -1x) 6 + 5x + x2 + -1(-3(2 + -1x) + x(2 + -1x)) = 0 6 + 5x + x2 + -1((2 * -3 + -1x * -3) + x(2 + -1x)) = 0 6 + 5x + x2 + -1((-6 + 3x) + x(2 + -1x)) = 0 6 + 5x + x2 + -1(-6 + 3x + (2 * x + -1x * x)) = 0 6 + 5x + x2 + -1(-6 + 3x + (2x + -1x2)) = 0 Combine like terms: 3x + 2x = 5x 6 + 5x + x2 + -1(-6 + 5x + -1x2) = 0 6 + 5x + x2 + (-6 * -1 + 5x * -1 + -1x2 * -1) = 0 6 + 5x + x2 + (6 + -5x + 1x2) = 0 Reorder the terms: 6 + 6 + 5x + -5x + x2 + 1x2 = 0 Combine like terms: 6 + 6 = 12 12 + 5x + -5x + x2 + 1x2 = 0 Combine like terms: 5x + -5x = 0 12 + 0 + x2 + 1x2 = 0 12 + x2 + 1x2 = 0 Combine like terms: x2 + 1x2 = 2x2 12 + 2x2 = 0 Solving 12 + 2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x2 = 0 + -12 2x2 = 0 + -12 Combine like terms: 0 + -12 = -12 2x2 = -12 Divide each side by '2'. x2 = -6 Simplifying x2 = -6 Reorder the terms: 6 + x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + x2 = 0 The solution to this equation could not be determined.
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