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Simplifying 0 = 20x4 + -20x3 Reorder the terms: 0 = -20x3 + 20x4 Solving 0 = -20x3 + 20x4 Solving for variable 'x'. Remove the zero: 20x3 + -20x4 = -20x3 + 20x4 + 20x3 + -20x4 Reorder the terms: 20x3 + -20x4 = -20x3 + 20x3 + 20x4 + -20x4 Combine like terms: -20x3 + 20x3 = 0 20x3 + -20x4 = 0 + 20x4 + -20x4 20x3 + -20x4 = 20x4 + -20x4 Combine like terms: 20x4 + -20x4 = 0 20x3 + -20x4 = 0 Factor out the Greatest Common Factor (GCF), '20x3'. 20x3(1 + -1x) = 0 Ignore the factor 20.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {1}
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