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Simplifying 56u2 + -122u + 42 = 0 Reorder the terms: 42 + -122u + 56u2 = 0 Solving 42 + -122u + 56u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(21 + -61u + 28u2) = 0 Factor a trinomial. 2((3 + -7u)(7 + -4u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -7u)' equal to zero and attempt to solve: Simplifying 3 + -7u = 0 Solving 3 + -7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7u = 0 + -3 -7u = 0 + -3 Combine like terms: 0 + -3 = -3 -7u = -3 Divide each side by '-7'. u = 0.4285714286 Simplifying u = 0.4285714286Subproblem 2
Set the factor '(7 + -4u)' equal to zero and attempt to solve: Simplifying 7 + -4u = 0 Solving 7 + -4u = 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 + -4u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4u = 0 + -7 -4u = 0 + -7 Combine like terms: 0 + -7 = -7 -4u = -7 Divide each side by '-4'. u = 1.75 Simplifying u = 1.75Solution
u = {0.4285714286, 1.75}
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