=(u-2)(u-2)

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

Simplifying
0 = (u + -2)(u + -2)

Reorder the terms:
0 = (-2 + u)(u + -2)

Reorder the terms:
0 = (-2 + u)(-2 + u)

Multiply (-2 + u) * (-2 + u)
0 = (-2(-2 + u) + u(-2 + u))
0 = ((-2 * -2 + u * -2) + u(-2 + u))
0 = ((4 + -2u) + u(-2 + u))
0 = (4 + -2u + (-2 * u + u * u))
0 = (4 + -2u + (-2u + u2))

Combine like terms: -2u + -2u = -4u
0 = (4 + -4u + u2)

Solving
0 = 4 + -4u + u2

Solving for variable 'u'.

Combine like terms: 0 + -4 = -4
-4 + 4u + -1u2 = 4 + -4u + u2 + -4 + 4u + -1u2

Reorder the terms:
-4 + 4u + -1u2 = 4 + -4 + -4u + 4u + u2 + -1u2

Combine like terms: 4 + -4 = 0
-4 + 4u + -1u2 = 0 + -4u + 4u + u2 + -1u2
-4 + 4u + -1u2 = -4u + 4u + u2 + -1u2

Combine like terms: -4u + 4u = 0
-4 + 4u + -1u2 = 0 + u2 + -1u2
-4 + 4u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-4 + 4u + -1u2 = 0

Factor a trinomial.
(-2 + u)(2 + -1u) = 0

Subproblem 1
Set the factor '(-2 + u)' equal to zero and attempt to solve:

Simplifying
-2 + u = 0

Solving
-2 + u = 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 + u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + u = 0 + 2
u = 0 + 2

Combine like terms: 0 + 2 = 2
u = 2

Simplifying
u = 2
Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {2, 2}