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Simplifying 30u2 + -57u + 21 = 0 Reorder the terms: 21 + -57u + 30u2 = 0 Solving 21 + -57u + 30u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(7 + -19u + 10u2) = 0 Factor a trinomial. 3((1 + -2u)(7 + -5u)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Subproblem 2
Set the factor '(7 + -5u)' equal to zero and attempt to solve: Simplifying 7 + -5u = 0 Solving 7 + -5u = 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 + -5u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5u = 0 + -7 -5u = 0 + -7 Combine like terms: 0 + -7 = -7 -5u = -7 Divide each side by '-5'. u = 1.4 Simplifying u = 1.4Solution
u = {0.5, 1.4}
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