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Simplifying 3x + -18 = (x + 3)(x + -3) * 2 + x2 + 3x + 9 Reorder the terms: -18 + 3x = (x + 3)(x + -3) * 2 + x2 + 3x + 9 Reorder the terms: -18 + 3x = (3 + x)(x + -3) * 2 + x2 + 3x + 9 Reorder the terms: -18 + 3x = (3 + x)(-3 + x) * 2 + x2 + 3x + 9 Reorder the terms for easier multiplication: -18 + 3x = 2(3 + x)(-3 + x) + x2 + 3x + 9 Multiply (3 + x) * (-3 + x) -18 + 3x = 2(3(-3 + x) + x(-3 + x)) + x2 + 3x + 9 -18 + 3x = 2((-3 * 3 + x * 3) + x(-3 + x)) + x2 + 3x + 9 -18 + 3x = 2((-9 + 3x) + x(-3 + x)) + x2 + 3x + 9 -18 + 3x = 2(-9 + 3x + (-3 * x + x * x)) + x2 + 3x + 9 -18 + 3x = 2(-9 + 3x + (-3x + x2)) + x2 + 3x + 9 Combine like terms: 3x + -3x = 0 -18 + 3x = 2(-9 + 0 + x2) + x2 + 3x + 9 -18 + 3x = 2(-9 + x2) + x2 + 3x + 9 -18 + 3x = (-9 * 2 + x2 * 2) + x2 + 3x + 9 -18 + 3x = (-18 + 2x2) + x2 + 3x + 9 Reorder the terms: -18 + 3x = -18 + 9 + 3x + 2x2 + x2 Combine like terms: -18 + 9 = -9 -18 + 3x = -9 + 3x + 2x2 + x2 Combine like terms: 2x2 + x2 = 3x2 -18 + 3x = -9 + 3x + 3x2 Add '-3x' to each side of the equation. -18 + 3x + -3x = -9 + 3x + -3x + 3x2 Combine like terms: 3x + -3x = 0 -18 + 0 = -9 + 3x + -3x + 3x2 -18 = -9 + 3x + -3x + 3x2 Combine like terms: 3x + -3x = 0 -18 = -9 + 0 + 3x2 -18 = -9 + 3x2 Solving -18 = -9 + 3x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x2' to each side of the equation. -18 + -3x2 = -9 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18 + -3x2 = -9 + 0 -18 + -3x2 = -9 Add '18' to each side of the equation. -18 + 18 + -3x2 = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -3x2 = -9 + 18 -3x2 = -9 + 18 Combine like terms: -9 + 18 = 9 -3x2 = 9 Divide each side by '-3'. x2 = -3 Simplifying x2 = -3 Reorder the terms: 3 + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + x2 = 0 The solution to this equation could not be determined.
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