2x^2-13=6

Solution for 2x^2-13=6 equation:

Simplifying
2x2 + -13 = 6

Reorder the terms:
-13 + 2x2 = 6

Solving
-13 + 2x2 = 6

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 = 6 + 13

Combine like terms: -13 + 13 = 0
0 + 2x2 = 6 + 13
2x2 = 6 + 13

Combine like terms: 6 + 13 = 19
2x2 = 19

Divide each side by '2'.
x2 = 9.5

Simplifying
x2 = 9.5

Take the square root of each side:
x = {-3.082207001, 3.082207001}