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Simplifying (10u * u * u) + -1(5u * u) = 0 Multiply u * u (10u2 * u) + -1(5u * u) = 0 Multiply u2 * u (10u3) + -1(5u * u) = 0 Multiply u * u (10u3) + -1(5u2) = 0 Remove parenthesis around (5u2) (10u3) + -1 * 5u2 = 0 Multiply -1 * 5 (10u3) + -5u2 = 0 Reorder the terms: -5u2 + (10u3) = 0 Solving -5u2 + (10u3) = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u2'. 5u2(-1 + (2u)) = 0 Ignore the factor 5.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 + (2u))' equal to zero and attempt to solve: Simplifying -1 + (2u) = 0 Solving -1 + (2u) = 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 + (2u) = 0 + 1 Combine like terms: -1 + 1 = 0 0 + (2u) = 0 + 1 (2u) = 0 + 1 Combine like terms: 0 + 1 = 1 (2u) = 1 Divide each side by '2'. u = 0.5 Simplifying u = 0.5Solution
u = {0, 0.5}
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