4x^2-6+1=0

Solution for 4x^2-6+1=0 equation:

Simplifying
4x2 + -6 + 1 = 0

Reorder the terms:
-6 + 1 + 4x2 = 0

Combine like terms: -6 + 1 = -5
-5 + 4x2 = 0

Solving
-5 + 4x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x2 = 0 + 5
4x2 = 0 + 5

Combine like terms: 0 + 5 = 5
4x2 = 5

Divide each side by '4'.
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}