4x^2-12x^2+1=0

Solution for 4x^2-12x^2+1=0 equation:

Simplifying
4x2 + -12x2 + 1 = 0

Reorder the terms:
1 + 4x2 + -12x2 = 0

Combine like terms: 4x2 + -12x2 = -8x2
1 + -8x2 = 0

Solving
1 + -8x2 = 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 + -8x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x2 = 0 + -1
-8x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-8x2 = -1

Divide each side by '-8'.
x2 = 0.125

Simplifying
x2 = 0.125

Take the square root of each side:
x = {-0.353553391, 0.353553391}