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Simplifying (8x2 + 7x + 9)(7x3 + 9x) = 0 Reorder the terms: (9 + 7x + 8x2)(7x3 + 9x) = 0 Reorder the terms: (9 + 7x + 8x2)(9x + 7x3) = 0 Multiply (9 + 7x + 8x2) * (9x + 7x3) (9(9x + 7x3) + 7x * (9x + 7x3) + 8x2 * (9x + 7x3)) = 0 ((9x * 9 + 7x3 * 9) + 7x * (9x + 7x3) + 8x2 * (9x + 7x3)) = 0 ((81x + 63x3) + 7x * (9x + 7x3) + 8x2 * (9x + 7x3)) = 0 (81x + 63x3 + (9x * 7x + 7x3 * 7x) + 8x2 * (9x + 7x3)) = 0 (81x + 63x3 + (63x2 + 49x4) + 8x2 * (9x + 7x3)) = 0 (81x + 63x3 + 63x2 + 49x4 + (9x * 8x2 + 7x3 * 8x2)) = 0 (81x + 63x3 + 63x2 + 49x4 + (72x3 + 56x5)) = 0 Reorder the terms: (81x + 63x2 + 63x3 + 72x3 + 49x4 + 56x5) = 0 Combine like terms: 63x3 + 72x3 = 135x3 (81x + 63x2 + 135x3 + 49x4 + 56x5) = 0 Solving 81x + 63x2 + 135x3 + 49x4 + 56x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(81 + 63x + 135x2 + 49x3 + 56x4) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(81 + 63x + 135x2 + 49x3 + 56x4)' equal to zero and attempt to solve: Simplifying 81 + 63x + 135x2 + 49x3 + 56x4 = 0 Solving 81 + 63x + 135x2 + 49x3 + 56x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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