-2x^2+19=-13

Solution for -2x^2+19=-13 equation:

Simplifying
-2x2 + 19 = -13

Reorder the terms:
19 + -2x2 = -13

Solving
19 + -2x2 = -13

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + -2x2 = -13 + -19

Combine like terms: 19 + -19 = 0
0 + -2x2 = -13 + -19
-2x2 = -13 + -19

Combine like terms: -13 + -19 = -32
-2x2 = -32

Divide each side by '-2'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}