3x^2+14x^2-2=0

Solution for 3x^2+14x^2-2=0 equation:

Simplifying
3x2 + 14x2 + -2 = 0

Reorder the terms:
-2 + 3x2 + 14x2 = 0

Combine like terms: 3x2 + 14x2 = 17x2
-2 + 17x2 = 0

Solving
-2 + 17x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 17x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 17x2 = 0 + 2
17x2 = 0 + 2

Combine like terms: 0 + 2 = 2
17x2 = 2

Divide each side by '17'.
x2 = 0.1176470588

Simplifying
x2 = 0.1176470588

Take the square root of each side:
x = {-0.34299717, 0.34299717}