8x^2-41+5=0

Solution for 8x^2-41+5=0 equation:

Simplifying
8x2 + -41 + 5 = 0

Reorder the terms:
-41 + 5 + 8x2 = 0

Combine like terms: -41 + 5 = -36
-36 + 8x2 = 0

Solving
-36 + 8x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 8x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 8x2 = 0 + 36
8x2 = 0 + 36

Combine like terms: 0 + 36 = 36
8x2 = 36

Divide each side by '8'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}