U^2+3U-10=0

Solution for U^2+3U-10=0 equation:

Simplifying
U2 + 3U + -10 = 0

Reorder the terms:
-10 + 3U + U2 = 0

Solving
-10 + 3U + U2 = 0

Solving for variable 'U'.

Factor a trinomial.
(-5 + -1U)(2 + -1U) = 0

Subproblem 1
Set the factor '(-5 + -1U)' equal to zero and attempt to solve:

Simplifying
-5 + -1U = 0

Solving
-5 + -1U = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1U = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1U = 0 + 5
-1U = 0 + 5

Combine like terms: 0 + 5 = 5
-1U = 5

Divide each side by '-1'.
U = -5

Simplifying
U = -5
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 = {-5, 2}