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Simplifying 48u2 + -10u + -7 = 0 Reorder the terms: -7 + -10u + 48u2 = 0 Solving -7 + -10u + 48u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -24u)(1 + -2u) = 0Subproblem 1
Set the factor '(-7 + -24u)' equal to zero and attempt to solve: Simplifying -7 + -24u = 0 Solving -7 + -24u = 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 + -24u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -24u = 0 + 7 -24u = 0 + 7 Combine like terms: 0 + 7 = 7 -24u = 7 Divide each side by '-24'. u = -0.2916666667 Simplifying u = -0.2916666667Subproblem 2
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 = 0.5Solution
u = {-0.2916666667, 0.5}
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