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Simplifying 14u2 + 35u4 = 0 Solving 14u2 + 35u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '7u2'. 7u2(2 + 5u2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
Set the factor '(2 + 5u2)' equal to zero and attempt to solve: Simplifying 2 + 5u2 = 0 Solving 2 + 5u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5u2 = 0 + -2 5u2 = 0 + -2 Combine like terms: 0 + -2 = -2 5u2 = -2 Divide each side by '5'. u2 = -0.4 Simplifying u2 = -0.4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
u = {0}
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