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Simplifying (5x3 + -4x2 + 6x + 8)(9x + 7) = 0 Reorder the terms: (8 + 6x + -4x2 + 5x3)(9x + 7) = 0 Reorder the terms: (8 + 6x + -4x2 + 5x3)(7 + 9x) = 0 Multiply (8 + 6x + -4x2 + 5x3) * (7 + 9x) (8(7 + 9x) + 6x * (7 + 9x) + -4x2 * (7 + 9x) + 5x3 * (7 + 9x)) = 0 ((7 * 8 + 9x * 8) + 6x * (7 + 9x) + -4x2 * (7 + 9x) + 5x3 * (7 + 9x)) = 0 ((56 + 72x) + 6x * (7 + 9x) + -4x2 * (7 + 9x) + 5x3 * (7 + 9x)) = 0 (56 + 72x + (7 * 6x + 9x * 6x) + -4x2 * (7 + 9x) + 5x3 * (7 + 9x)) = 0 (56 + 72x + (42x + 54x2) + -4x2 * (7 + 9x) + 5x3 * (7 + 9x)) = 0 (56 + 72x + 42x + 54x2 + (7 * -4x2 + 9x * -4x2) + 5x3 * (7 + 9x)) = 0 (56 + 72x + 42x + 54x2 + (-28x2 + -36x3) + 5x3 * (7 + 9x)) = 0 (56 + 72x + 42x + 54x2 + -28x2 + -36x3 + (7 * 5x3 + 9x * 5x3)) = 0 (56 + 72x + 42x + 54x2 + -28x2 + -36x3 + (35x3 + 45x4)) = 0 Combine like terms: 72x + 42x = 114x (56 + 114x + 54x2 + -28x2 + -36x3 + 35x3 + 45x4) = 0 Combine like terms: 54x2 + -28x2 = 26x2 (56 + 114x + 26x2 + -36x3 + 35x3 + 45x4) = 0 Combine like terms: -36x3 + 35x3 = -1x3 (56 + 114x + 26x2 + -1x3 + 45x4) = 0 Solving 56 + 114x + 26x2 + -1x3 + 45x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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