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Simplifying 8x2 + -6x + -6 = (4x + 3)(2x + -3) Reorder the terms: -6 + -6x + 8x2 = (4x + 3)(2x + -3) Reorder the terms: -6 + -6x + 8x2 = (3 + 4x)(2x + -3) Reorder the terms: -6 + -6x + 8x2 = (3 + 4x)(-3 + 2x) Multiply (3 + 4x) * (-3 + 2x) -6 + -6x + 8x2 = (3(-3 + 2x) + 4x * (-3 + 2x)) -6 + -6x + 8x2 = ((-3 * 3 + 2x * 3) + 4x * (-3 + 2x)) -6 + -6x + 8x2 = ((-9 + 6x) + 4x * (-3 + 2x)) -6 + -6x + 8x2 = (-9 + 6x + (-3 * 4x + 2x * 4x)) -6 + -6x + 8x2 = (-9 + 6x + (-12x + 8x2)) Combine like terms: 6x + -12x = -6x -6 + -6x + 8x2 = (-9 + -6x + 8x2) Add '6x' to each side of the equation. -6 + -6x + 6x + 8x2 = -9 + -6x + 6x + 8x2 Combine like terms: -6x + 6x = 0 -6 + 0 + 8x2 = -9 + -6x + 6x + 8x2 -6 + 8x2 = -9 + -6x + 6x + 8x2 Combine like terms: -6x + 6x = 0 -6 + 8x2 = -9 + 0 + 8x2 -6 + 8x2 = -9 + 8x2 Add '-8x2' to each side of the equation. -6 + 8x2 + -8x2 = -9 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6 + 0 = -9 + 8x2 + -8x2 -6 = -9 + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6 = -9 + 0 -6 = -9 Solving -6 = -9 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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