5u^2+52u+63=0

Solution for 5u^2+52u+63=0 equation:

Simplifying
5u2 + 52u + 63 = 0

Reorder the terms:
63 + 52u + 5u2 = 0

Solving
63 + 52u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(9 + u)(7 + 5u) = 0

Subproblem 1
Set the factor '(9 + u)' equal to zero and attempt to solve:

Simplifying
9 + u = 0

Solving
9 + u = 0

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

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

Combine like terms: 9 + -9 = 0
0 + u = 0 + -9
u = 0 + -9

Combine like terms: 0 + -9 = -9
u = -9

Simplifying
u = -9
Subproblem 2
Set the factor '(7 + 5u)' equal to zero and attempt to solve:

Simplifying
7 + 5u = 0

Solving
7 + 5u = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5u = 0 + -7
5u = 0 + -7

Combine like terms: 0 + -7 = -7
5u = -7

Divide each side by '5'.
u = -1.4

Simplifying
u = -1.4
Solution
u = {-9, -1.4}