3x^2-13+12=0

Solution for 3x^2-13+12=0 equation:

Simplifying
3x2 + -13 + 12 = 0

Reorder the terms:
-13 + 12 + 3x2 = 0

Combine like terms: -13 + 12 = -1
-1 + 3x2 = 0

Solving
-1 + 3x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 = 0 + 1
3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
3x2 = 1

Divide each side by '3'.
x2 = 0.3333333333

Simplifying
x2 = 0.3333333333

Take the square root of each side:
x = {-0.577350269, 0.577350269}