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Simplifying (x + -2)(x + -3) + -3(x + 2) = x(x + -3) + -6(x + -1) Reorder the terms: (-2 + x)(x + -3) + -3(x + 2) = x(x + -3) + -6(x + -1) Reorder the terms: (-2 + x)(-3 + x) + -3(x + 2) = x(x + -3) + -6(x + -1) Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x)) + -3(x + 2) = x(x + -3) + -6(x + -1) ((-3 * -2 + x * -2) + x(-3 + x)) + -3(x + 2) = x(x + -3) + -6(x + -1) ((6 + -2x) + x(-3 + x)) + -3(x + 2) = x(x + -3) + -6(x + -1) (6 + -2x + (-3 * x + x * x)) + -3(x + 2) = x(x + -3) + -6(x + -1) (6 + -2x + (-3x + x2)) + -3(x + 2) = x(x + -3) + -6(x + -1) Combine like terms: -2x + -3x = -5x (6 + -5x + x2) + -3(x + 2) = x(x + -3) + -6(x + -1) Reorder the terms: 6 + -5x + x2 + -3(2 + x) = x(x + -3) + -6(x + -1) 6 + -5x + x2 + (2 * -3 + x * -3) = x(x + -3) + -6(x + -1) 6 + -5x + x2 + (-6 + -3x) = x(x + -3) + -6(x + -1) Reorder the terms: 6 + -6 + -5x + -3x + x2 = x(x + -3) + -6(x + -1) Combine like terms: 6 + -6 = 0 0 + -5x + -3x + x2 = x(x + -3) + -6(x + -1) -5x + -3x + x2 = x(x + -3) + -6(x + -1) Combine like terms: -5x + -3x = -8x -8x + x2 = x(x + -3) + -6(x + -1) Reorder the terms: -8x + x2 = x(-3 + x) + -6(x + -1) -8x + x2 = (-3 * x + x * x) + -6(x + -1) -8x + x2 = (-3x + x2) + -6(x + -1) Reorder the terms: -8x + x2 = -3x + x2 + -6(-1 + x) -8x + x2 = -3x + x2 + (-1 * -6 + x * -6) -8x + x2 = -3x + x2 + (6 + -6x) Reorder the terms: -8x + x2 = 6 + -3x + -6x + x2 Combine like terms: -3x + -6x = -9x -8x + x2 = 6 + -9x + x2 Add '-1x2' to each side of the equation. -8x + x2 + -1x2 = 6 + -9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x + 0 = 6 + -9x + x2 + -1x2 -8x = 6 + -9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8x = 6 + -9x + 0 -8x = 6 + -9x Solving -8x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -8x + 9x = 6 + -9x + 9x Combine like terms: -8x + 9x = 1x 1x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 1x = 6 + 0 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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