-2n^2+5n-38=-9n^2

Solution for -2n^2+5n-38=-9n^2 equation:

Simplifying
-2n2 + 5n + -38 = -9n2

Reorder the terms:
-38 + 5n + -2n2 = -9n2

Solving
-38 + 5n + -2n2 = -9n2

Solving for variable 'n'.

Combine like terms: -2n2 + 9n2 = 7n2
-38 + 5n + 7n2 = -9n2 + 9n2

Combine like terms: -9n2 + 9n2 = 0
-38 + 5n + 7n2 = 0

Factor a trinomial.
(-19 + -7n)(2 + -1n) = 0

Subproblem 1
Set the factor '(-19 + -7n)' equal to zero and attempt to solve:

Simplifying
-19 + -7n = 0

Solving
-19 + -7n = 0

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

Add '19' to each side of the equation.
-19 + 19 + -7n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -7n = 0 + 19
-7n = 0 + 19

Combine like terms: 0 + 19 = 19
-7n = 19

Divide each side by '-7'.
n = -2.714285714

Simplifying
n = -2.714285714
Subproblem 2
Set the factor '(2 + -1n)' equal to zero and attempt to solve:

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Solution
n = {-2.714285714, 2}