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Simplifying 8x5 + -72x5 + 40x3 = 0 Reorder the terms: 40x3 + 8x5 + -72x5 = 0 Combine like terms: 8x5 + -72x5 = -64x5 40x3 + -64x5 = 0 Solving 40x3 + -64x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x3'. 8x3(5 + -8x2) = 0 Ignore the factor 8.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 '(5 + -8x2)' equal to zero and attempt to solve: Simplifying 5 + -8x2 = 0 Solving 5 + -8x2 = 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 + -8x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x2 = 0 + -5 -8x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -8x2 = -5 Divide each side by '-8'. x2 = 0.625 Simplifying x2 = 0.625 Take the square root of each side: x = {-0.790569415, 0.790569415}Solution
x = {-0.790569415, 0.790569415}
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