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Simplifying 45u2 + -72u + -36 = 0 Reorder the terms: -36 + -72u + 45u2 = 0 Solving -36 + -72u + 45u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '9'. 9(-4 + -8u + 5u2) = 0 Factor a trinomial. 9((-2 + -5u)(2 + -1u)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-2 + -5u)' equal to zero and attempt to solve: Simplifying -2 + -5u = 0 Solving -2 + -5u = 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 + -5u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5u = 0 + 2 -5u = 0 + 2 Combine like terms: 0 + 2 = 2 -5u = 2 Divide each side by '-5'. u = -0.4 Simplifying u = -0.4Subproblem 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 = {-0.4, 2}
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