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Simplifying x4 + 49x2 = 0 Reorder the terms: 49x2 + x4 = 0 Solving 49x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(49 + x2) = 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 '(49 + x2)' equal to zero and attempt to solve: Simplifying 49 + x2 = 0 Solving 49 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x2 = 0 + -49 x2 = 0 + -49 Combine like terms: 0 + -49 = -49 x2 = -49 Simplifying x2 = -49 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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