(4x^2)-5+1=0

Solution for (4x^2)-5+1=0 equation:

Simplifying
(4x2) + -5 + 1 = 0

Reorder the terms:
-5 + 1 + (4x2) = 0

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

Solving
-4 + (4x2) = 0

Solving for variable 'x'.

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

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

Combine like terms: -4 + 4 = 0
0 + (4x2) = 0 + 4
(4x2) = 0 + 4

Combine like terms: 0 + 4 = 4
(4x2) = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}