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Simplifying 0 = 2x4 + -26x2 + -24x Reorder the terms: 0 = -24x + -26x2 + 2x4 Solving 0 = -24x + -26x2 + 2x4 Solving for variable 'x'. Remove the zero: 24x + 26x2 + -2x4 = -24x + -26x2 + 2x4 + 24x + 26x2 + -2x4 Reorder the terms: 24x + 26x2 + -2x4 = -24x + 24x + -26x2 + 26x2 + 2x4 + -2x4 Combine like terms: -24x + 24x = 0 24x + 26x2 + -2x4 = 0 + -26x2 + 26x2 + 2x4 + -2x4 24x + 26x2 + -2x4 = -26x2 + 26x2 + 2x4 + -2x4 Combine like terms: -26x2 + 26x2 = 0 24x + 26x2 + -2x4 = 0 + 2x4 + -2x4 24x + 26x2 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 24x + 26x2 + -2x4 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + 13x + -1x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(12 + 13x + -1x3)' equal to zero and attempt to solve: Simplifying 12 + 13x + -1x3 = 0 Solving 12 + 13x + -1x3 = 0 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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