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Simplifying 0 = 5x4 + -80x3 Reorder the terms: 0 = -80x3 + 5x4 Solving 0 = -80x3 + 5x4 Solving for variable 'x'. Remove the zero: 80x3 + -5x4 = -80x3 + 5x4 + 80x3 + -5x4 Reorder the terms: 80x3 + -5x4 = -80x3 + 80x3 + 5x4 + -5x4 Combine like terms: -80x3 + 80x3 = 0 80x3 + -5x4 = 0 + 5x4 + -5x4 80x3 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 80x3 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(16 + -1x) = 0 Ignore the factor 5.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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {16}
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