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Simplifying (5x + 3) * x(8x2 + 9x + 9) = 0 Reorder the terms: (3 + 5x) * x(8x2 + 9x + 9) = 0 Reorder the terms: (3 + 5x) * x(9 + 9x + 8x2) = 0 Reorder the terms for easier multiplication: x(3 + 5x)(9 + 9x + 8x2) = 0 Multiply (3 + 5x) * (9 + 9x + 8x2) x(3(9 + 9x + 8x2) + 5x * (9 + 9x + 8x2)) = 0 x((9 * 3 + 9x * 3 + 8x2 * 3) + 5x * (9 + 9x + 8x2)) = 0 x((27 + 27x + 24x2) + 5x * (9 + 9x + 8x2)) = 0 x(27 + 27x + 24x2 + (9 * 5x + 9x * 5x + 8x2 * 5x)) = 0 x(27 + 27x + 24x2 + (45x + 45x2 + 40x3)) = 0 Reorder the terms: x(27 + 27x + 45x + 24x2 + 45x2 + 40x3) = 0 Combine like terms: 27x + 45x = 72x x(27 + 72x + 24x2 + 45x2 + 40x3) = 0 Combine like terms: 24x2 + 45x2 = 69x2 x(27 + 72x + 69x2 + 40x3) = 0 (27 * x + 72x * x + 69x2 * x + 40x3 * x) = 0 (27x + 72x2 + 69x3 + 40x4) = 0 Solving 27x + 72x2 + 69x3 + 40x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(27 + 72x + 69x2 + 40x3) = 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 '(27 + 72x + 69x2 + 40x3)' equal to zero and attempt to solve: Simplifying 27 + 72x + 69x2 + 40x3 = 0 Solving 27 + 72x + 69x2 + 40x3 = 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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