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Simplifying 4u4 + 68u2 + 280 = 0 Reorder the terms: 280 + 68u2 + 4u4 = 0 Solving 280 + 68u2 + 4u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4'. 4(70 + 17u2 + u4) = 0 Factor a trinomial. 4((10 + u2)(7 + u2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + u2)' equal to zero and attempt to solve: Simplifying 10 + u2 = 0 Solving 10 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + u2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + u2 = 0 + -10 u2 = 0 + -10 Combine like terms: 0 + -10 = -10 u2 = -10 Simplifying u2 = -10 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + u2)' equal to zero and attempt to solve: Simplifying 7 + u2 = 0 Solving 7 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u2 = 0 + -7 u2 = 0 + -7 Combine like terms: 0 + -7 = -7 u2 = -7 Simplifying u2 = -7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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