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Simplifying (3x + -9) * x(2x + 5) = 6x + -8x + 4 Reorder the terms: (-9 + 3x) * x(2x + 5) = 6x + -8x + 4 Reorder the terms: (-9 + 3x) * x(5 + 2x) = 6x + -8x + 4 Reorder the terms for easier multiplication: x(-9 + 3x)(5 + 2x) = 6x + -8x + 4 Multiply (-9 + 3x) * (5 + 2x) x(-9(5 + 2x) + 3x * (5 + 2x)) = 6x + -8x + 4 x((5 * -9 + 2x * -9) + 3x * (5 + 2x)) = 6x + -8x + 4 x((-45 + -18x) + 3x * (5 + 2x)) = 6x + -8x + 4 x(-45 + -18x + (5 * 3x + 2x * 3x)) = 6x + -8x + 4 x(-45 + -18x + (15x + 6x2)) = 6x + -8x + 4 Combine like terms: -18x + 15x = -3x x(-45 + -3x + 6x2) = 6x + -8x + 4 (-45 * x + -3x * x + 6x2 * x) = 6x + -8x + 4 (-45x + -3x2 + 6x3) = 6x + -8x + 4 Reorder the terms: -45x + -3x2 + 6x3 = 4 + 6x + -8x Combine like terms: 6x + -8x = -2x -45x + -3x2 + 6x3 = 4 + -2x Solving -45x + -3x2 + 6x3 = 4 + -2x Solving for variable 'x'. Reorder the terms: -4 + -45x + 2x + -3x2 + 6x3 = 4 + -2x + -4 + 2x Combine like terms: -45x + 2x = -43x -4 + -43x + -3x2 + 6x3 = 4 + -2x + -4 + 2x Reorder the terms: -4 + -43x + -3x2 + 6x3 = 4 + -4 + -2x + 2x Combine like terms: 4 + -4 = 0 -4 + -43x + -3x2 + 6x3 = 0 + -2x + 2x -4 + -43x + -3x2 + 6x3 = -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -43x + -3x2 + 6x3 = 0 The solution to this equation could not be determined.
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