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Simplifying 0 = x5 + -20x2 Reorder the terms: 0 = -20x2 + x5 Solving 0 = -20x2 + x5 Solving for variable 'x'. Remove the zero: 20x2 + -1x5 = -20x2 + x5 + 20x2 + -1x5 Reorder the terms: 20x2 + -1x5 = -20x2 + 20x2 + x5 + -1x5 Combine like terms: -20x2 + 20x2 = 0 20x2 + -1x5 = 0 + x5 + -1x5 20x2 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 20x2 + -1x5 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(20 + -1x3) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(20 + -1x3)' equal to zero and attempt to solve: Simplifying 20 + -1x3 = 0 Solving 20 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x3 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x3 = 0 + -20 -1x3 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x3 = -20 Divide each side by '-1'. x3 = 20 Simplifying x3 = 20 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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