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Simplifying 256x5 + -81x3 = 0 Reorder the terms: -81x3 + 256x5 = 0 Solving -81x3 + 256x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-81 + 256x2) = 0 Factor a difference between two squares. x3((9 + 16x)(-9 + 16x)) = 0Subproblem 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 + 16x)' equal to zero and attempt to solve: Simplifying 9 + 16x = 0 Solving 9 + 16x = 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 + 16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 0 + -9 16x = 0 + -9 Combine like terms: 0 + -9 = -9 16x = -9 Divide each side by '16'. x = -0.5625 Simplifying x = -0.5625Subproblem 3
Set the factor '(-9 + 16x)' equal to zero and attempt to solve: Simplifying -9 + 16x = 0 Solving -9 + 16x = 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 + 16x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 0 + 9 16x = 0 + 9 Combine like terms: 0 + 9 = 9 16x = 9 Divide each side by '16'. x = 0.5625 Simplifying x = 0.5625Solution
x = {-0.5625, 0.5625}
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