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Simplifying (7x2 + 9x + 8)(9x2 + 7x) = 0 Reorder the terms: (8 + 9x + 7x2)(9x2 + 7x) = 0 Reorder the terms: (8 + 9x + 7x2)(7x + 9x2) = 0 Multiply (8 + 9x + 7x2) * (7x + 9x2) (8(7x + 9x2) + 9x * (7x + 9x2) + 7x2 * (7x + 9x2)) = 0 ((7x * 8 + 9x2 * 8) + 9x * (7x + 9x2) + 7x2 * (7x + 9x2)) = 0 ((56x + 72x2) + 9x * (7x + 9x2) + 7x2 * (7x + 9x2)) = 0 (56x + 72x2 + (7x * 9x + 9x2 * 9x) + 7x2 * (7x + 9x2)) = 0 (56x + 72x2 + (63x2 + 81x3) + 7x2 * (7x + 9x2)) = 0 (56x + 72x2 + 63x2 + 81x3 + (7x * 7x2 + 9x2 * 7x2)) = 0 (56x + 72x2 + 63x2 + 81x3 + (49x3 + 63x4)) = 0 Combine like terms: 72x2 + 63x2 = 135x2 (56x + 135x2 + 81x3 + 49x3 + 63x4) = 0 Combine like terms: 81x3 + 49x3 = 130x3 (56x + 135x2 + 130x3 + 63x4) = 0 Solving 56x + 135x2 + 130x3 + 63x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(56 + 135x + 130x2 + 63x3) = 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 '(56 + 135x + 130x2 + 63x3)' equal to zero and attempt to solve: Simplifying 56 + 135x + 130x2 + 63x3 = 0 Solving 56 + 135x + 130x2 + 63x3 = 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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