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