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Simplifying 0 = 20x3 + -5x4 Solving 0 = 20x3 + -5x4 Solving for variable 'x'. Remove the zero: -20x3 + 5x4 = 20x3 + -5x4 + -20x3 + 5x4 Reorder the terms: -20x3 + 5x4 = 20x3 + -20x3 + -5x4 + 5x4 Combine like terms: 20x3 + -20x3 = 0 -20x3 + 5x4 = 0 + -5x4 + 5x4 -20x3 + 5x4 = -5x4 + 5x4 Combine like terms: -5x4 + 5x4 = 0 -20x3 + 5x4 = 0 Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {4}
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