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Simplifying (8u3) + -1(2u2) = 0 Remove parenthesis around (2u2) (8u3) + -1 * 2u2 = 0 Multiply -1 * 2 (8u3) + -2u2 = 0 Reorder the terms: -2u2 + (8u3) = 0 Solving -2u2 + (8u3) = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u2'. 2u2(-1 + (4u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'u2' equal to zero and attempt to solve: Simplifying u2 = 0 Solving u2 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u2 = 0 Take the square root of each side: u = {0}Subproblem 2
Set the factor '(-1 + (4u))' equal to zero and attempt to solve: Simplifying -1 + (4u) = 0 Solving -1 + (4u) = 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 + (4u) = 0 + 1 Combine like terms: -1 + 1 = 0 0 + (4u) = 0 + 1 (4u) = 0 + 1 Combine like terms: 0 + 1 = 1 (4u) = 1 Divide each side by '4'. u = 0.25 Simplifying u = 0.25Solution
u = {0, 0.25}
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