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Simplifying 20x4 + 45x2 = 0 Reorder the terms: 45x2 + 20x4 = 0 Solving 45x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(9 + 4x2) = 0 Ignore the factor 5.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 '(9 + 4x2)' equal to zero and attempt to solve: Simplifying 9 + 4x2 = 0 Solving 9 + 4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x2 = 0 + -9 4x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x2 = -9 Divide each side by '4'. x2 = -2.25 Simplifying x2 = -2.25 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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