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Simplifying (5u + -2)(5u + u) = 0 Reorder the terms: (-2 + 5u)(5u + u) = 0 Combine like terms: 5u + u = 6u (-2 + 5u)(6u) = 0 Remove parenthesis around (6u) (-2 + 5u) * 6u = 0 Reorder the terms for easier multiplication: 6u(-2 + 5u) = 0 (-2 * 6u + 5u * 6u) = 0 (-12u + 30u2) = 0 Solving -12u + 30u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '6u'. 6u(-2 + 5u) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
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 = 0.4Solution
u = {0, 0.4}
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