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}