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Simplifying 0 = x4 + -5x3 Reorder the terms: 0 = -5x3 + x4 Solving 0 = -5x3 + x4 Solving for variable 'x'. Remove the zero: 5x3 + -1x4 = -5x3 + x4 + 5x3 + -1x4 Reorder the terms: 5x3 + -1x4 = -5x3 + 5x3 + x4 + -1x4 Combine like terms: -5x3 + 5x3 = 0 5x3 + -1x4 = 0 + x4 + -1x4 5x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 5x3 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5}
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