(u+3)(u-1)2-4(u+3)=0

Solution for (u+3)(u-1)2-4(u+3)=0 equation:

Simplifying
(u + 3)(u + -1) * 2 + -4(u + 3) = 0

Reorder the terms:
(3 + u)(u + -1) * 2 + -4(u + 3) = 0

Reorder the terms:
(3 + u)(-1 + u) * 2 + -4(u + 3) = 0

Reorder the terms for easier multiplication:
2(3 + u)(-1 + u) + -4(u + 3) = 0

Multiply (3 + u) * (-1 + u)
2(3(-1 + u) + u(-1 + u)) + -4(u + 3) = 0
2((-1 * 3 + u * 3) + u(-1 + u)) + -4(u + 3) = 0
2((-3 + 3u) + u(-1 + u)) + -4(u + 3) = 0
2(-3 + 3u + (-1 * u + u * u)) + -4(u + 3) = 0
2(-3 + 3u + (-1u + u2)) + -4(u + 3) = 0

Combine like terms: 3u + -1u = 2u
2(-3 + 2u + u2) + -4(u + 3) = 0
(-3 * 2 + 2u * 2 + u2 * 2) + -4(u + 3) = 0
(-6 + 4u + 2u2) + -4(u + 3) = 0

Reorder the terms:
-6 + 4u + 2u2 + -4(3 + u) = 0
-6 + 4u + 2u2 + (3 * -4 + u * -4) = 0
-6 + 4u + 2u2 + (-12 + -4u) = 0

Reorder the terms:
-6 + -12 + 4u + -4u + 2u2 = 0

Combine like terms: -6 + -12 = -18
-18 + 4u + -4u + 2u2 = 0

Combine like terms: 4u + -4u = 0
-18 + 0 + 2u2 = 0
-18 + 2u2 = 0

Solving
-18 + 2u2 = 0

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 2u2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2u2 = 0 + 18
2u2 = 0 + 18

Combine like terms: 0 + 18 = 18
2u2 = 18

Divide each side by '2'.
u2 = 9

Simplifying
u2 = 9

Take the square root of each side:
u = {-3, 3}