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Simplifying -52x4 = 4x2 Solving -52x4 = 4x2 Solving for variable 'x'. Reorder the terms: -4x2 + -52x4 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -4x2 + -52x4 = 0 Factor out the Greatest Common Factor (GCF), '-4x2'. -4x2(1 + 13x2) = 0 Ignore the factor -4.Subproblem 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 '(1 + 13x2)' equal to zero and attempt to solve: Simplifying 1 + 13x2 = 0 Solving 1 + 13x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 13x2 = 0 + -1 13x2 = 0 + -1 Combine like terms: 0 + -1 = -1 13x2 = -1 Divide each side by '13'. x2 = -0.07692307692 Simplifying x2 = -0.07692307692 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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