5x^2-11-12=0

Solution for 5x^2-11-12=0 equation:

Simplifying
5x2 + -11 + -12 = 0

Reorder the terms:
-11 + -12 + 5x2 = 0

Combine like terms: -11 + -12 = -23
-23 + 5x2 = 0

Solving
-23 + 5x2 = 0

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 5x2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 5x2 = 0 + 23
5x2 = 0 + 23

Combine like terms: 0 + 23 = 23
5x2 = 23

Divide each side by '5'.
x2 = 4.6

Simplifying
x2 = 4.6

Take the square root of each side:
x = {-2.144761059, 2.144761059}