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Simplifying (x + -3)(x2 + -2x + 6) = x(x2 + -5x + 9) Reorder the terms: (-3 + x)(x2 + -2x + 6) = x(x2 + -5x + 9) Reorder the terms: (-3 + x)(6 + -2x + x2) = x(x2 + -5x + 9) Multiply (-3 + x) * (6 + -2x + x2) (-3(6 + -2x + x2) + x(6 + -2x + x2)) = x(x2 + -5x + 9) ((6 * -3 + -2x * -3 + x2 * -3) + x(6 + -2x + x2)) = x(x2 + -5x + 9) ((-18 + 6x + -3x2) + x(6 + -2x + x2)) = x(x2 + -5x + 9) (-18 + 6x + -3x2 + (6 * x + -2x * x + x2 * x)) = x(x2 + -5x + 9) (-18 + 6x + -3x2 + (6x + -2x2 + x3)) = x(x2 + -5x + 9) Reorder the terms: (-18 + 6x + 6x + -3x2 + -2x2 + x3) = x(x2 + -5x + 9) Combine like terms: 6x + 6x = 12x (-18 + 12x + -3x2 + -2x2 + x3) = x(x2 + -5x + 9) Combine like terms: -3x2 + -2x2 = -5x2 (-18 + 12x + -5x2 + x3) = x(x2 + -5x + 9) Reorder the terms: -18 + 12x + -5x2 + x3 = x(9 + -5x + x2) -18 + 12x + -5x2 + x3 = (9 * x + -5x * x + x2 * x) -18 + 12x + -5x2 + x3 = (9x + -5x2 + x3) Add '5x2' to each side of the equation. -18 + 12x + -5x2 + 5x2 + x3 = 9x + -5x2 + 5x2 + x3 Combine like terms: -5x2 + 5x2 = 0 -18 + 12x + 0 + x3 = 9x + -5x2 + 5x2 + x3 -18 + 12x + x3 = 9x + -5x2 + 5x2 + x3 Combine like terms: -5x2 + 5x2 = 0 -18 + 12x + x3 = 9x + 0 + x3 -18 + 12x + x3 = 9x + x3 Add '-1x3' to each side of the equation. -18 + 12x + x3 + -1x3 = 9x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -18 + 12x + 0 = 9x + x3 + -1x3 -18 + 12x = 9x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -18 + 12x = 9x + 0 -18 + 12x = 9x Solving -18 + 12x = 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. -18 + 12x + -9x = 9x + -9x Combine like terms: 12x + -9x = 3x -18 + 3x = 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 3x = 0 Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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