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Simplifying -7u2 + -19u + -10 = 0 Reorder the terms: -10 + -19u + -7u2 = 0 Solving -10 + -19u + -7u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 19u + 7u2) = 0 Factor a trinomial. -1((2 + u)(5 + 7u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 2
Set the factor '(5 + 7u)' equal to zero and attempt to solve: Simplifying 5 + 7u = 0 Solving 5 + 7u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7u = 0 + -5 7u = 0 + -5 Combine like terms: 0 + -5 = -5 7u = -5 Divide each side by '7'. u = -0.7142857143 Simplifying u = -0.7142857143Solution
u = {-2, -0.7142857143}
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