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Simplifying (x + 2)(x + 3) = (x + 2)(x + -2) Reorder the terms: (2 + x)(x + 3) = (x + 2)(x + -2) Reorder the terms: (2 + x)(3 + x) = (x + 2)(x + -2) Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) = (x + 2)(x + -2) ((3 * 2 + x * 2) + x(3 + x)) = (x + 2)(x + -2) ((6 + 2x) + x(3 + x)) = (x + 2)(x + -2) (6 + 2x + (3 * x + x * x)) = (x + 2)(x + -2) (6 + 2x + (3x + x2)) = (x + 2)(x + -2) Combine like terms: 2x + 3x = 5x (6 + 5x + x2) = (x + 2)(x + -2) Reorder the terms: 6 + 5x + x2 = (2 + x)(x + -2) Reorder the terms: 6 + 5x + x2 = (2 + x)(-2 + x) Multiply (2 + x) * (-2 + x) 6 + 5x + x2 = (2(-2 + x) + x(-2 + x)) 6 + 5x + x2 = ((-2 * 2 + x * 2) + x(-2 + x)) 6 + 5x + x2 = ((-4 + 2x) + x(-2 + x)) 6 + 5x + x2 = (-4 + 2x + (-2 * x + x * x)) 6 + 5x + x2 = (-4 + 2x + (-2x + x2)) Combine like terms: 2x + -2x = 0 6 + 5x + x2 = (-4 + 0 + x2) 6 + 5x + x2 = (-4 + x2) Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = -4 + x2 + -1x2 6 + 5x = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = -4 + 0 6 + 5x = -4 Solving 6 + 5x = -4 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 + 5x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -4 + -6 5x = -4 + -6 Combine like terms: -4 + -6 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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