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Simplifying 36x4 + 96x2 + 28x2 = 0 Reorder the terms: 96x2 + 28x2 + 36x4 = 0 Combine like terms: 96x2 + 28x2 = 124x2 124x2 + 36x4 = 0 Solving 124x2 + 36x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(31 + 9x2) = 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 '(31 + 9x2)' equal to zero and attempt to solve: Simplifying 31 + 9x2 = 0 Solving 31 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 9x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 9x2 = 0 + -31 9x2 = 0 + -31 Combine like terms: 0 + -31 = -31 9x2 = -31 Divide each side by '9'. x2 = -3.444444444 Simplifying x2 = -3.444444444 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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