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Simplifying -5u2 + -12u + -7 = 0 Reorder the terms: -7 + -12u + -5u2 = 0 Solving -7 + -12u + -5u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 12u + 5u2) = 0 Factor a trinomial. -1((7 + 5u)(1 + u)) = 0 Ignore the factor -1.Subproblem 1
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 = -1.4Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-1.4, -1}
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