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Simplifying 5x(-8x3 + 9x2) = 0 Reorder the terms: 5x(9x2 + -8x3) = 0 (9x2 * 5x + -8x3 * 5x) = 0 (45x3 + -40x4) = 0 Solving 45x3 + -40x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(9 + -8x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125Solution
x = {1.125}
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