13*x^2-11=3

Solution for 13*x^2-11=3 equation:

Simplifying
13x2 + -11 = 3

Reorder the terms:
-11 + 13x2 = 3

Solving
-11 + 13x2 = 3

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 13x2 = 3 + 11

Combine like terms: -11 + 11 = 0
0 + 13x2 = 3 + 11
13x2 = 3 + 11

Combine like terms: 3 + 11 = 14
13x2 = 14

Divide each side by '13'.
x2 = 1.076923077

Simplifying
x2 = 1.076923077

Take the square root of each side:
x = {-1.037749043, 1.037749043}