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Simplifying 49u2 + -56u + 16 = 0 Reorder the terms: 16 + -56u + 49u2 = 0 Solving 16 + -56u + 49u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -7u)(4 + -7u) = 0Subproblem 1
Set the factor '(4 + -7u)' equal to zero and attempt to solve: Simplifying 4 + -7u = 0 Solving 4 + -7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7u = 0 + -4 -7u = 0 + -4 Combine like terms: 0 + -4 = -4 -7u = -4 Divide each side by '-7'. u = 0.5714285714 Simplifying u = 0.5714285714Subproblem 2
Set the factor '(4 + -7u)' equal to zero and attempt to solve: Simplifying 4 + -7u = 0 Solving 4 + -7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7u = 0 + -4 -7u = 0 + -4 Combine like terms: 0 + -4 = -4 -7u = -4 Divide each side by '-7'. u = 0.5714285714 Simplifying u = 0.5714285714Solution
u = {0.5714285714, 0.5714285714}
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