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Simplifying 4u2 = -7 + 29u Solving 4u2 = -7 + 29u Solving for variable 'u'. Reorder the terms: 7 + -29u + 4u2 = -7 + 29u + 7 + -29u Reorder the terms: 7 + -29u + 4u2 = -7 + 7 + 29u + -29u Combine like terms: -7 + 7 = 0 7 + -29u + 4u2 = 0 + 29u + -29u 7 + -29u + 4u2 = 29u + -29u Combine like terms: 29u + -29u = 0 7 + -29u + 4u2 = 0 Factor a trinomial. (1 + -4u)(7 + -1u) = 0Subproblem 1
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 = 0.25Subproblem 2
Set the factor '(7 + -1u)' equal to zero and attempt to solve: Simplifying 7 + -1u = 0 Solving 7 + -1u = 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 + -1u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1u = 0 + -7 -1u = 0 + -7 Combine like terms: 0 + -7 = -7 -1u = -7 Divide each side by '-1'. u = 7 Simplifying u = 7Solution
u = {0.25, 7}
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