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Simplifying (4x2 + 3x + 2)(2x2 + -5x + -6) = 0 Reorder the terms: (2 + 3x + 4x2)(2x2 + -5x + -6) = 0 Reorder the terms: (2 + 3x + 4x2)(-6 + -5x + 2x2) = 0 Multiply (2 + 3x + 4x2) * (-6 + -5x + 2x2) (2(-6 + -5x + 2x2) + 3x * (-6 + -5x + 2x2) + 4x2 * (-6 + -5x + 2x2)) = 0 ((-6 * 2 + -5x * 2 + 2x2 * 2) + 3x * (-6 + -5x + 2x2) + 4x2 * (-6 + -5x + 2x2)) = 0 ((-12 + -10x + 4x2) + 3x * (-6 + -5x + 2x2) + 4x2 * (-6 + -5x + 2x2)) = 0 (-12 + -10x + 4x2 + (-6 * 3x + -5x * 3x + 2x2 * 3x) + 4x2 * (-6 + -5x + 2x2)) = 0 (-12 + -10x + 4x2 + (-18x + -15x2 + 6x3) + 4x2 * (-6 + -5x + 2x2)) = 0 (-12 + -10x + 4x2 + -18x + -15x2 + 6x3 + (-6 * 4x2 + -5x * 4x2 + 2x2 * 4x2)) = 0 (-12 + -10x + 4x2 + -18x + -15x2 + 6x3 + (-24x2 + -20x3 + 8x4)) = 0 Reorder the terms: (-12 + -10x + -18x + 4x2 + -15x2 + -24x2 + 6x3 + -20x3 + 8x4) = 0 Combine like terms: -10x + -18x = -28x (-12 + -28x + 4x2 + -15x2 + -24x2 + 6x3 + -20x3 + 8x4) = 0 Combine like terms: 4x2 + -15x2 = -11x2 (-12 + -28x + -11x2 + -24x2 + 6x3 + -20x3 + 8x4) = 0 Combine like terms: -11x2 + -24x2 = -35x2 (-12 + -28x + -35x2 + 6x3 + -20x3 + 8x4) = 0 Combine like terms: 6x3 + -20x3 = -14x3 (-12 + -28x + -35x2 + -14x3 + 8x4) = 0 Solving -12 + -28x + -35x2 + -14x3 + 8x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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