4X^2+0X-1=0

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

Simplifying
4X2 + 0X + -1 = 0

Anything times zero is zero.
4X2 + 0X + -1 = 0

Reorder the terms:
0 + -1 + 4X2 = 0

Combine like terms: 0 + -1 = -1
-1 + 4X2 = 0

Solving
-1 + 4X2 = 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 + 4X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4X2 = 0 + 1
4X2 = 0 + 1

Combine like terms: 0 + 1 = 1
4X2 = 1

Divide each side by '4'.
X2 = 0.25

Simplifying
X2 = 0.25

Take the square root of each side:
X = {-0.5, 0.5}