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Simplifying (x + -2)(x + -3) = (x + 2)(x + 3) Reorder the terms: (-2 + x)(x + -3) = (x + 2)(x + 3) Reorder the terms: (-2 + x)(-3 + x) = (x + 2)(x + 3) Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x)) = (x + 2)(x + 3) ((-3 * -2 + x * -2) + x(-3 + x)) = (x + 2)(x + 3) ((6 + -2x) + x(-3 + x)) = (x + 2)(x + 3) (6 + -2x + (-3 * x + x * x)) = (x + 2)(x + 3) (6 + -2x + (-3x + x2)) = (x + 2)(x + 3) Combine like terms: -2x + -3x = -5x (6 + -5x + x2) = (x + 2)(x + 3) Reorder the terms: 6 + -5x + x2 = (2 + x)(x + 3) Reorder the terms: 6 + -5x + x2 = (2 + x)(3 + x) Multiply (2 + x) * (3 + x) 6 + -5x + x2 = (2(3 + x) + x(3 + x)) 6 + -5x + x2 = ((3 * 2 + x * 2) + x(3 + x)) 6 + -5x + x2 = ((6 + 2x) + x(3 + x)) 6 + -5x + x2 = (6 + 2x + (3 * x + x * x)) 6 + -5x + x2 = (6 + 2x + (3x + x2)) Combine like terms: 2x + 3x = 5x 6 + -5x + x2 = (6 + 5x + x2) Add '-6' to each side of the equation. 6 + -5x + -6 + x2 = 6 + 5x + -6 + x2 Reorder the terms: 6 + -6 + -5x + x2 = 6 + 5x + -6 + x2 Combine like terms: 6 + -6 = 0 0 + -5x + x2 = 6 + 5x + -6 + x2 -5x + x2 = 6 + 5x + -6 + x2 Reorder the terms: -5x + x2 = 6 + -6 + 5x + x2 Combine like terms: 6 + -6 = 0 -5x + x2 = 0 + 5x + x2 -5x + x2 = 5x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 5x + x2 + -1x2 -5x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 5x + 0 -5x = 5x Solving -5x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5x + -5x = 5x + -5x Combine like terms: -5x + -5x = -10x -10x = 5x + -5x Combine like terms: 5x + -5x = 0 -10x = 0 Divide each side by '-10'. x = 0.0 Simplifying x = 0.0
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