-2u=-(-2u)(-2u)

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Solution for -2u=-(-2u)(-2u) equation:


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 = 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 = 0.5

Solution

u = {0, 0.5}

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