13.0=3.0x^2+1.0

Solution for 13.0=3.0x^2+1.0 equation:

Simplifying
13.0 = 3.0x2 + 1.0

Reorder the terms:
13.0 = 1.0 + 3.0x2

Solving
13.0 = 1.0 + 3.0x2

Solving for variable 'x'.

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

Add '-3.0x2' to each side of the equation.
13.0 + -3.0x2 = 1.0 + 3.0x2 + -3.0x2

Combine like terms: 3.0x2 + -3.0x2 = 0.0
13.0 + -3.0x2 = 1.0 + 0.0
13.0 + -3.0x2 = 1.0

Add '-13.0' to each side of the equation.
13.0 + -13.0 + -3.0x2 = 1.0 + -13.0

Combine like terms: 13.0 + -13.0 = 0.0
0.0 + -3.0x2 = 1.0 + -13.0
-3.0x2 = 1.0 + -13.0

Combine like terms: 1.0 + -13.0 = -12
-3.0x2 = -12

Divide each side by '-3.0'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}