2N^2-23N=-63

Solution for 2N^2-23N=-63 equation:

Simplifying
2N2 + -23N = -63

Reorder the terms:
-23N + 2N2 = -63

Solving
-23N + 2N2 = -63

Solving for variable 'N'.

Reorder the terms:
63 + -23N + 2N2 = -63 + 63

Combine like terms: -63 + 63 = 0
63 + -23N + 2N2 = 0

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

Subproblem 1
Set the factor '(9 + -2N)' equal to zero and attempt to solve:

Simplifying
9 + -2N = 0

Solving
9 + -2N = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2N = 0 + -9

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

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

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

Simplifying
N = 4.5
Subproblem 2
Set the factor '(7 + -1N)' equal to zero and attempt to solve:

Simplifying
7 + -1N = 0

Solving
7 + -1N = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1N = 0 + -7

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

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

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

Simplifying
N = 7
Solution
N = {4.5, 7}