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Simplifying 60X4 + 30X2 = 0 Reorder the terms: 30X2 + 60X4 = 0 Solving 30X2 + 60X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '30X2'. 30X2(1 + 2X2) = 0 Ignore the factor 30.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 '(1 + 2X2)' equal to zero and attempt to solve: Simplifying 1 + 2X2 = 0 Solving 1 + 2X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X2 = 0 + -1 2X2 = 0 + -1 Combine like terms: 0 + -1 = -1 2X2 = -1 Divide each side by '2'. X2 = -0.5 Simplifying X2 = -0.5 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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