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Simplifying -144 + 6u2 = -60u Solving -144 + 6u2 = -60u Solving for variable 'u'. Reorder the terms: -144 + 60u + 6u2 = -60u + 60u Combine like terms: -60u + 60u = 0 -144 + 60u + 6u2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-24 + 10u + u2) = 0 Factor a trinomial. 6((-12 + -1u)(2 + -1u)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-12 + -1u)' equal to zero and attempt to solve: Simplifying -12 + -1u = 0 Solving -12 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1u = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1u = 0 + 12 -1u = 0 + 12 Combine like terms: 0 + 12 = 12 -1u = 12 Divide each side by '-1'. u = -12 Simplifying u = -12Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-12, 2}
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