6x^2(4)+x^2-12=0

Solution for 6x^2(4)+x^2-12=0 equation:

Simplifying
6x2(4) + x2 + -12 = 0

Reorder the terms for easier multiplication:
6 * 4x2 + x2 + -12 = 0

Multiply 6 * 4
24x2 + x2 + -12 = 0

Reorder the terms:
-12 + 24x2 + x2 = 0

Combine like terms: 24x2 + x2 = 25x2
-12 + 25x2 = 0

Solving
-12 + 25x2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 25x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 25x2 = 0 + 12
25x2 = 0 + 12

Combine like terms: 0 + 12 = 12
25x2 = 12

Divide each side by '25'.
x2 = 0.48

Simplifying
x2 = 0.48

Take the square root of each side:
x = {-0.692820323, 0.692820323}