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Simplifying 0 = 2x5 + -5x2 Reorder the terms: 0 = -5x2 + 2x5 Solving 0 = -5x2 + 2x5 Solving for variable 'x'. Remove the zero: 5x2 + -2x5 = -5x2 + 2x5 + 5x2 + -2x5 Reorder the terms: 5x2 + -2x5 = -5x2 + 5x2 + 2x5 + -2x5 Combine like terms: -5x2 + 5x2 = 0 5x2 + -2x5 = 0 + 2x5 + -2x5 5x2 + -2x5 = 2x5 + -2x5 Combine like terms: 2x5 + -2x5 = 0 5x2 + -2x5 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(5 + -2x3) = 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 '(5 + -2x3)' equal to zero and attempt to solve: Simplifying 5 + -2x3 = 0 Solving 5 + -2x3 = 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 + -2x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x3 = 0 + -5 -2x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x3 = -5 Divide each side by '-2'. x3 = 2.5 Simplifying x3 = 2.5 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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