-5x^2+9=-6

Solution for -5x^2+9=-6 equation:

Simplifying
-5x2 + 9 = -6

Reorder the terms:
9 + -5x2 = -6

Solving
9 + -5x2 = -6

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -5x2 = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -5x2 = -6 + -9
-5x2 = -6 + -9

Combine like terms: -6 + -9 = -15
-5x2 = -15

Divide each side by '-5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}