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Simplifying 2x3 + -18x = 2x(x + -3)(x + 3) Reorder the terms: -18x + 2x3 = 2x(x + -3)(x + 3) Reorder the terms: -18x + 2x3 = 2x(-3 + x)(x + 3) Reorder the terms: -18x + 2x3 = 2x(-3 + x)(3 + x) Multiply (-3 + x) * (3 + x) -18x + 2x3 = 2x(-3(3 + x) + x(3 + x)) -18x + 2x3 = 2x((3 * -3 + x * -3) + x(3 + x)) -18x + 2x3 = 2x((-9 + -3x) + x(3 + x)) -18x + 2x3 = 2x(-9 + -3x + (3 * x + x * x)) -18x + 2x3 = 2x(-9 + -3x + (3x + x2)) Combine like terms: -3x + 3x = 0 -18x + 2x3 = 2x(-9 + 0 + x2) -18x + 2x3 = 2x(-9 + x2) -18x + 2x3 = (-9 * 2x + x2 * 2x) -18x + 2x3 = (-18x + 2x3) Add '18x' to each side of the equation. -18x + 18x + 2x3 = -18x + 18x + 2x3 Combine like terms: -18x + 18x = 0 0 + 2x3 = -18x + 18x + 2x3 2x3 = -18x + 18x + 2x3 Combine like terms: -18x + 18x = 0 2x3 = 0 + 2x3 2x3 = 2x3 Add '-2x3' to each side of the equation. 2x3 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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