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Simplifying 6u(2u + -2) + -2u(5u + 2) = 0 Reorder the terms: 6u(-2 + 2u) + -2u(5u + 2) = 0 (-2 * 6u + 2u * 6u) + -2u(5u + 2) = 0 (-12u + 12u2) + -2u(5u + 2) = 0 Reorder the terms: -12u + 12u2 + -2u(2 + 5u) = 0 -12u + 12u2 + (2 * -2u + 5u * -2u) = 0 -12u + 12u2 + (-4u + -10u2) = 0 Reorder the terms: -12u + -4u + 12u2 + -10u2 = 0 Combine like terms: -12u + -4u = -16u -16u + 12u2 + -10u2 = 0 Combine like terms: 12u2 + -10u2 = 2u2 -16u + 2u2 = 0 Solving -16u + 2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u'. 2u(-8 + u) = 0 Ignore the factor 2.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 '(-8 + u)' equal to zero and attempt to solve: Simplifying -8 + u = 0 Solving -8 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + u = 0 + 8 u = 0 + 8 Combine like terms: 0 + 8 = 8 u = 8 Simplifying u = 8Solution
u = {0, 8}
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