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Simplifying x2 + -9x + 18 = (x + -3)(x + 6) Reorder the terms: 18 + -9x + x2 = (x + -3)(x + 6) Reorder the terms: 18 + -9x + x2 = (-3 + x)(x + 6) Reorder the terms: 18 + -9x + x2 = (-3 + x)(6 + x) Multiply (-3 + x) * (6 + x) 18 + -9x + x2 = (-3(6 + x) + x(6 + x)) 18 + -9x + x2 = ((6 * -3 + x * -3) + x(6 + x)) 18 + -9x + x2 = ((-18 + -3x) + x(6 + x)) 18 + -9x + x2 = (-18 + -3x + (6 * x + x * x)) 18 + -9x + x2 = (-18 + -3x + (6x + x2)) Combine like terms: -3x + 6x = 3x 18 + -9x + x2 = (-18 + 3x + x2) Add '-1x2' to each side of the equation. 18 + -9x + x2 + -1x2 = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 0 = -18 + 3x + x2 + -1x2 18 + -9x = -18 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x = -18 + 3x + 0 18 + -9x = -18 + 3x Solving 18 + -9x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -9x + -3x = -18 + 3x + -3x Combine like terms: -9x + -3x = -12x 18 + -12x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -12x = -18 + 0 18 + -12x = -18 Add '-18' to each side of the equation. 18 + -18 + -12x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -12x = -18 + -18 -12x = -18 + -18 Combine like terms: -18 + -18 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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