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Simplifying 20x4 + 21x2 = 0 Reorder the terms: 21x2 + 20x4 = 0 Solving 21x2 + 20x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(21 + 20x2) = 0Subproblem 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 '(21 + 20x2)' equal to zero and attempt to solve: Simplifying 21 + 20x2 = 0 Solving 21 + 20x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 20x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 20x2 = 0 + -21 20x2 = 0 + -21 Combine like terms: 0 + -21 = -21 20x2 = -21 Divide each side by '20'. x2 = -1.05 Simplifying x2 = -1.05 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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