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Simplifying 0 = 2x3 + -1x5 Solving 0 = 2x3 + -1x5 Solving for variable 'x'. Remove the zero: -2x3 + x5 = 2x3 + -1x5 + -2x3 + x5 Reorder the terms: -2x3 + x5 = 2x3 + -2x3 + -1x5 + x5 Combine like terms: 2x3 + -2x3 = 0 -2x3 + x5 = 0 + -1x5 + x5 -2x3 + x5 = -1x5 + x5 Combine like terms: -1x5 + x5 = 0 -2x3 + x5 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(-2 + x2) = 0Subproblem 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 '(-2 + x2)' equal to zero and attempt to solve: Simplifying -2 + x2 = 0 Solving -2 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 = 0 + 2 x2 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.414213562, 1.414213562}
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