(1-4u)(1-4u)=

Solution for (1-4u)(1-4u)= equation:

Simplifying
(1 + -4u)(1 + -4u) = 0

Multiply (1 + -4u) * (1 + -4u)
(1(1 + -4u) + -4u * (1 + -4u)) = 0
((1 * 1 + -4u * 1) + -4u * (1 + -4u)) = 0
((1 + -4u) + -4u * (1 + -4u)) = 0
(1 + -4u + (1 * -4u + -4u * -4u)) = 0
(1 + -4u + (-4u + 16u2)) = 0

Combine like terms: -4u + -4u = -8u
(1 + -8u + 16u2) = 0

Solving
1 + -8u + 16u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -4u)(1 + -4u) = 0

Subproblem 1
Set the factor '(1 + -4u)' equal to zero and attempt to solve:

Simplifying
1 + -4u = 0

Solving
1 + -4u = 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 + -4u = 0 + -1

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

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

Divide each side by '-4'.
u = 0.25

Simplifying
u = 0.25
Subproblem 2
Set the factor '(1 + -4u)' equal to zero and attempt to solve:

Simplifying
1 + -4u = 0

Solving
1 + -4u = 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 + -4u = 0 + -1

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

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

Divide each side by '-4'.
u = 0.25

Simplifying
u = 0.25
Solution
u = {0.25, 0.25}