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Simplifying (3x2 + -2x + -7)(9x2 + 8x + 6) = 0 Reorder the terms: (-7 + -2x + 3x2)(9x2 + 8x + 6) = 0 Reorder the terms: (-7 + -2x + 3x2)(6 + 8x + 9x2) = 0 Multiply (-7 + -2x + 3x2) * (6 + 8x + 9x2) (-7(6 + 8x + 9x2) + -2x * (6 + 8x + 9x2) + 3x2 * (6 + 8x + 9x2)) = 0 ((6 * -7 + 8x * -7 + 9x2 * -7) + -2x * (6 + 8x + 9x2) + 3x2 * (6 + 8x + 9x2)) = 0 ((-42 + -56x + -63x2) + -2x * (6 + 8x + 9x2) + 3x2 * (6 + 8x + 9x2)) = 0 (-42 + -56x + -63x2 + (6 * -2x + 8x * -2x + 9x2 * -2x) + 3x2 * (6 + 8x + 9x2)) = 0 (-42 + -56x + -63x2 + (-12x + -16x2 + -18x3) + 3x2 * (6 + 8x + 9x2)) = 0 (-42 + -56x + -63x2 + -12x + -16x2 + -18x3 + (6 * 3x2 + 8x * 3x2 + 9x2 * 3x2)) = 0 (-42 + -56x + -63x2 + -12x + -16x2 + -18x3 + (18x2 + 24x3 + 27x4)) = 0 Reorder the terms: (-42 + -56x + -12x + -63x2 + -16x2 + 18x2 + -18x3 + 24x3 + 27x4) = 0 Combine like terms: -56x + -12x = -68x (-42 + -68x + -63x2 + -16x2 + 18x2 + -18x3 + 24x3 + 27x4) = 0 Combine like terms: -63x2 + -16x2 = -79x2 (-42 + -68x + -79x2 + 18x2 + -18x3 + 24x3 + 27x4) = 0 Combine like terms: -79x2 + 18x2 = -61x2 (-42 + -68x + -61x2 + -18x3 + 24x3 + 27x4) = 0 Combine like terms: -18x3 + 24x3 = 6x3 (-42 + -68x + -61x2 + 6x3 + 27x4) = 0 Solving -42 + -68x + -61x2 + 6x3 + 27x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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