x+5x^2-x-5=0

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

Simplifying
x + 5x2 + -1x + -5 = 0

Reorder the terms:
-5 + x + -1x + 5x2 = 0

Combine like terms: x + -1x = 0
-5 + 0 + 5x2 = 0
-5 + 5x2 = 0

Solving
-5 + 5x2 = 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 + 5x2 = 0 + 5

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

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

Divide each side by '5'.
x2 = 1

Simplifying
x2 = 1

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