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Simplifying -12u = 4u2 + 9 Reorder the terms: -12u = 9 + 4u2 Solving -12u = 9 + 4u2 Solving for variable 'u'. Reorder the terms: -9 + -12u + -4u2 = 9 + 4u2 + -9 + -4u2 Reorder the terms: -9 + -12u + -4u2 = 9 + -9 + 4u2 + -4u2 Combine like terms: 9 + -9 = 0 -9 + -12u + -4u2 = 0 + 4u2 + -4u2 -9 + -12u + -4u2 = 4u2 + -4u2 Combine like terms: 4u2 + -4u2 = 0 -9 + -12u + -4u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 12u + 4u2) = 0 Factor a trinomial. -1((3 + 2u)(3 + 2u)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Subproblem 2
Set the factor '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {-1.5, -1.5}
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