4x^2-20x-1=-1

Solution for 4x^2-20x-1=-1 equation:

Simplifying
4x2 + -20x + -1 = -1

Reorder the terms:
-1 + -20x + 4x2 = -1

Add '1' to each side of the equation.
-1 + -20x + 1 + 4x2 = -1 + 1

Reorder the terms:
-1 + 1 + -20x + 4x2 = -1 + 1

Combine like terms: -1 + 1 = 0
0 + -20x + 4x2 = -1 + 1
-20x + 4x2 = -1 + 1

Combine like terms: -1 + 1 = 0
-20x + 4x2 = 0

Solving
-20x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-5 + x) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

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

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

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

Simplifying
x = 5
Solution
x = {0, 5}