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Simplifying -81x3 + 45x = 0 Reorder the terms: 45x + -81x3 = 0 Solving 45x + -81x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x'. 9x(5 + -9x2) = 0 Ignore the factor 9.Subproblem 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 '(5 + -9x2)' equal to zero and attempt to solve: Simplifying 5 + -9x2 = 0 Solving 5 + -9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x2 = 0 + -5 -9x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -9x2 = -5 Divide each side by '-9'. x2 = 0.5555555556 Simplifying x2 = 0.5555555556 Take the square root of each side: x = {-0.745355993, 0.745355993}Solution
x = {0, -0.745355993, 0.745355993}
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