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Simplifying 8x2 + -18 = 2(2x + -3)(2x + 3) Reorder the terms: -18 + 8x2 = 2(2x + -3)(2x + 3) Reorder the terms: -18 + 8x2 = 2(-3 + 2x)(2x + 3) Reorder the terms: -18 + 8x2 = 2(-3 + 2x)(3 + 2x) Multiply (-3 + 2x) * (3 + 2x) -18 + 8x2 = 2(-3(3 + 2x) + 2x * (3 + 2x)) -18 + 8x2 = 2((3 * -3 + 2x * -3) + 2x * (3 + 2x)) -18 + 8x2 = 2((-9 + -6x) + 2x * (3 + 2x)) -18 + 8x2 = 2(-9 + -6x + (3 * 2x + 2x * 2x)) -18 + 8x2 = 2(-9 + -6x + (6x + 4x2)) Combine like terms: -6x + 6x = 0 -18 + 8x2 = 2(-9 + 0 + 4x2) -18 + 8x2 = 2(-9 + 4x2) -18 + 8x2 = (-9 * 2 + 4x2 * 2) -18 + 8x2 = (-18 + 8x2) Add '18' to each side of the equation. -18 + 18 + 8x2 = -18 + 18 + 8x2 Combine like terms: -18 + 18 = 0 0 + 8x2 = -18 + 18 + 8x2 8x2 = -18 + 18 + 8x2 Combine like terms: -18 + 18 = 0 8x2 = 0 + 8x2 8x2 = 8x2 Add '-8x2' to each side of the equation. 8x2 + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 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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