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Simplifying 4x3 + -8x3 + -5x = 0 Reorder the terms: -5x + 4x3 + -8x3 = 0 Combine like terms: 4x3 + -8x3 = -4x3 -5x + -4x3 = 0 Solving -5x + -4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(5 + 4x2) = 0 Ignore the factor -1.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 + 4x2)' equal to zero and attempt to solve: Simplifying 5 + 4x2 = 0 Solving 5 + 4x2 = 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 + 4x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x2 = 0 + -5 4x2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x2 = -5 Divide each side by '4'. x2 = -1.25 Simplifying x2 = -1.25 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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