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Simplifying 24u2 + 94u = 25 Reorder the terms: 94u + 24u2 = 25 Solving 94u + 24u2 = 25 Solving for variable 'u'. Reorder the terms: -25 + 94u + 24u2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 94u + 24u2 = 0 Factor a trinomial. (-25 + -6u)(1 + -4u) = 0Subproblem 1
Set the factor '(-25 + -6u)' equal to zero and attempt to solve: Simplifying -25 + -6u = 0 Solving -25 + -6u = 0 Move all terms containing u to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -6u = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -6u = 0 + 25 -6u = 0 + 25 Combine like terms: 0 + 25 = 25 -6u = 25 Divide each side by '-6'. u = -4.166666667 Simplifying u = -4.166666667Subproblem 2
Set the factor '(1 + -4u)' equal to zero and attempt to solve: Simplifying 1 + -4u = 0 Solving 1 + -4u = 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 + -4u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4u = 0 + -1 -4u = 0 + -1 Combine like terms: 0 + -1 = -1 -4u = -1 Divide each side by '-4'. u = 0.25 Simplifying u = 0.25Solution
u = {-4.166666667, 0.25}
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