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Simplifying 0 = 12x5 + -24x3 Reorder the terms: 0 = -24x3 + 12x5 Solving 0 = -24x3 + 12x5 Solving for variable 'x'. Remove the zero: 24x3 + -12x5 = -24x3 + 12x5 + 24x3 + -12x5 Reorder the terms: 24x3 + -12x5 = -24x3 + 24x3 + 12x5 + -12x5 Combine like terms: -24x3 + 24x3 = 0 24x3 + -12x5 = 0 + 12x5 + -12x5 24x3 + -12x5 = 12x5 + -12x5 Combine like terms: 12x5 + -12x5 = 0 24x3 + -12x5 = 0 Factor out the Greatest Common Factor (GCF), '12x3'. 12x3(2 + -1x2) = 0 Ignore the factor 12.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 '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. 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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