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Simplifying 121x5 + -36x3 = 0 Reorder the terms: -36x3 + 121x5 = 0 Solving -36x3 + 121x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(-36 + 121x2) = 0 Factor a difference between two squares. x3((6 + 11x)(-6 + 11x)) = 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 '(6 + 11x)' equal to zero and attempt to solve: Simplifying 6 + 11x = 0 Solving 6 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = 0 + -6 11x = 0 + -6 Combine like terms: 0 + -6 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455Subproblem 3
Set the factor '(-6 + 11x)' equal to zero and attempt to solve: Simplifying -6 + 11x = 0 Solving -6 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 0 + 6 11x = 0 + 6 Combine like terms: 0 + 6 = 6 11x = 6 Divide each side by '11'. x = 0.5454545455 Simplifying x = 0.5454545455Solution
x = {-0.5454545455, 0.5454545455}
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