9n^2+7n-4=-2

Solution for 9n^2+7n-4=-2 equation:

Simplifying
9n2 + 7n + -4 = -2

Reorder the terms:
-4 + 7n + 9n2 = -2

Solving
-4 + 7n + 9n2 = -2

Solving for variable 'n'.

Reorder the terms:
-4 + 2 + 7n + 9n2 = -2 + 2

Combine like terms: -4 + 2 = -2
-2 + 7n + 9n2 = -2 + 2

Combine like terms: -2 + 2 = 0
-2 + 7n + 9n2 = 0

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

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

Simplifying
-1 + -1n = 0

Solving
-1 + -1n = 0

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

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

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

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

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

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

Simplifying
2 + -9n = 0

Solving
2 + -9n = 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 + -9n = 0 + -2

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

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

Divide each side by '-9'.
n = 0.2222222222

Simplifying
n = 0.2222222222
Solution
n = {-1, 0.2222222222}