-2x^2+13=-43

Solution for -2x^2+13=-43 equation:

Simplifying
-2x2 + 13 = -43

Reorder the terms:
13 + -2x2 = -43

Solving
13 + -2x2 = -43

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -2x2 = -43 + -13

Combine like terms: 13 + -13 = 0
0 + -2x2 = -43 + -13
-2x2 = -43 + -13

Combine like terms: -43 + -13 = -56
-2x2 = -56

Divide each side by '-2'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}