2u^2+5u-63=0

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

Simplifying
2u2 + 5u + -63 = 0

Reorder the terms:
-63 + 5u + 2u2 = 0

Solving
-63 + 5u + 2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(9 + -2u) = 0

Subproblem 1
Set the factor '(-7 + -1u)' equal to zero and attempt to solve:

Simplifying
-7 + -1u = 0

Solving
-7 + -1u = 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 + -1u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1u = 0 + 7
-1u = 0 + 7

Combine like terms: 0 + 7 = 7
-1u = 7

Divide each side by '-1'.
u = -7

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

Simplifying
9 + -2u = 0

Solving
9 + -2u = 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 + -2u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2u = 0 + -9
-2u = 0 + -9

Combine like terms: 0 + -9 = -9
-2u = -9

Divide each side by '-2'.
u = 4.5

Simplifying
u = 4.5
Solution
u = {-7, 4.5}