-1(n*n+3)=2(-4*3)

Solution for -1(n*n+3)=2(-4*3) equation:

Simplifying
-1(n * n + 3) = 2(-4 * 3)

Multiply n * n
-1(n2 + 3) = 2(-4 * 3)

Reorder the terms:
-1(3 + n2) = 2(-4 * 3)
(3 * -1 + n2 * -1) = 2(-4 * 3)
(-3 + -1n2) = 2(-4 * 3)

Multiply -4 * 3
-3 + -1n2 = 2(-12)

Multiply 2 * -12
-3 + -1n2 = -24

Solving
-3 + -1n2 = -24

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + -1n2 = -24 + 3

Combine like terms: -3 + 3 = 0
0 + -1n2 = -24 + 3
-1n2 = -24 + 3

Combine like terms: -24 + 3 = -21
-1n2 = -21

Divide each side by '-1'.
n2 = 21

Simplifying
n2 = 21

Take the square root of each side:
n = {-4.582575695, 4.582575695}