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Simplifying -2u = -1(-2u)(-2u) Remove parenthesis around (-2u) -2u = -1 * -2u(-2u) Remove parenthesis around (-2u) -2u = -1 * -2u * -2u Reorder the terms for easier multiplication: -2u = -1 * -2 * -2u * u Multiply -1 * -2 -2u = 2 * -2u * u Multiply 2 * -2 -2u = -4u * u Multiply u * u -2u = -4u2 Solving -2u = -4u2 Solving for variable 'u'. Combine like terms: -4u2 + 4u2 = 0 -2u + 4u2 = 0 Factor out the Greatest Common Factor (GCF), '2u'. 2u(-1 + 2u) = 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 '(-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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