(3u-5)(2+u)-(u-1)=

Solution for (3u-5)(2+u)-(u-1)= equation:

Simplifying
(3u + -5)(2 + u) + -1(u + -1) = 0

Reorder the terms:
(-5 + 3u)(2 + u) + -1(u + -1) = 0

Multiply (-5 + 3u) * (2 + u)
(-5(2 + u) + 3u * (2 + u)) + -1(u + -1) = 0
((2 * -5 + u * -5) + 3u * (2 + u)) + -1(u + -1) = 0
((-10 + -5u) + 3u * (2 + u)) + -1(u + -1) = 0
(-10 + -5u + (2 * 3u + u * 3u)) + -1(u + -1) = 0
(-10 + -5u + (6u + 3u2)) + -1(u + -1) = 0

Combine like terms: -5u + 6u = 1u
(-10 + 1u + 3u2) + -1(u + -1) = 0

Reorder the terms:
-10 + 1u + 3u2 + -1(-1 + u) = 0
-10 + 1u + 3u2 + (-1 * -1 + u * -1) = 0
-10 + 1u + 3u2 + (1 + -1u) = 0

Reorder the terms:
-10 + 1 + 1u + -1u + 3u2 = 0

Combine like terms: -10 + 1 = -9
-9 + 1u + -1u + 3u2 = 0

Combine like terms: 1u + -1u = 0
-9 + 0 + 3u2 = 0
-9 + 3u2 = 0

Solving
-9 + 3u2 = 0

Solving for variable 'u'.

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

Add '9' to each side of the equation.
-9 + 9 + 3u2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3u2 = 0 + 9
3u2 = 0 + 9

Combine like terms: 0 + 9 = 9
3u2 = 9

Divide each side by '3'.
u2 = 3

Simplifying
u2 = 3

Take the square root of each side:
u = {-1.732050808, 1.732050808}