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Simplifying 20x4 + 46x2 = 0 Reorder the terms: 46x2 + 20x4 = 0 Solving 46x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(23 + 10x2) = 0 Ignore the factor 2.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 '(23 + 10x2)' equal to zero and attempt to solve: Simplifying 23 + 10x2 = 0 Solving 23 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10x2 = 0 + -23 10x2 = 0 + -23 Combine like terms: 0 + -23 = -23 10x2 = -23 Divide each side by '10'. x2 = -2.3 Simplifying x2 = -2.3 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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