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Simplifying 18x2 + -3x + -36 = 3(2x + -3)(3x + 4) Reorder the terms: -36 + -3x + 18x2 = 3(2x + -3)(3x + 4) Reorder the terms: -36 + -3x + 18x2 = 3(-3 + 2x)(3x + 4) Reorder the terms: -36 + -3x + 18x2 = 3(-3 + 2x)(4 + 3x) Multiply (-3 + 2x) * (4 + 3x) -36 + -3x + 18x2 = 3(-3(4 + 3x) + 2x * (4 + 3x)) -36 + -3x + 18x2 = 3((4 * -3 + 3x * -3) + 2x * (4 + 3x)) -36 + -3x + 18x2 = 3((-12 + -9x) + 2x * (4 + 3x)) -36 + -3x + 18x2 = 3(-12 + -9x + (4 * 2x + 3x * 2x)) -36 + -3x + 18x2 = 3(-12 + -9x + (8x + 6x2)) Combine like terms: -9x + 8x = -1x -36 + -3x + 18x2 = 3(-12 + -1x + 6x2) -36 + -3x + 18x2 = (-12 * 3 + -1x * 3 + 6x2 * 3) -36 + -3x + 18x2 = (-36 + -3x + 18x2) Add '36' to each side of the equation. -36 + -3x + 36 + 18x2 = -36 + -3x + 36 + 18x2 Reorder the terms: -36 + 36 + -3x + 18x2 = -36 + -3x + 36 + 18x2 Combine like terms: -36 + 36 = 0 0 + -3x + 18x2 = -36 + -3x + 36 + 18x2 -3x + 18x2 = -36 + -3x + 36 + 18x2 Reorder the terms: -3x + 18x2 = -36 + 36 + -3x + 18x2 Combine like terms: -36 + 36 = 0 -3x + 18x2 = 0 + -3x + 18x2 -3x + 18x2 = -3x + 18x2 Add '3x' to each side of the equation. -3x + 3x + 18x2 = -3x + 3x + 18x2 Combine like terms: -3x + 3x = 0 0 + 18x2 = -3x + 3x + 18x2 18x2 = -3x + 3x + 18x2 Combine like terms: -3x + 3x = 0 18x2 = 0 + 18x2 18x2 = 18x2 Add '-18x2' to each side of the equation. 18x2 + -18x2 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 0 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 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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