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