0=-4x^2-16x+20

Solution for 0=-4x^2-16x+20 equation:

Simplifying
0 = -4x2 + -16x + 20

Reorder the terms:
0 = 20 + -16x + -4x2

Solving
0 = 20 + -16x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 16x + 4x2 = 20 + -16x + -4x2 + -20 + 16x + 4x2

Reorder the terms:
-20 + 16x + 4x2 = 20 + -20 + -16x + 16x + -4x2 + 4x2

Combine like terms: 20 + -20 = 0
-20 + 16x + 4x2 = 0 + -16x + 16x + -4x2 + 4x2
-20 + 16x + 4x2 = -16x + 16x + -4x2 + 4x2

Combine like terms: -16x + 16x = 0
-20 + 16x + 4x2 = 0 + -4x2 + 4x2
-20 + 16x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-20 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 4x + x2) = 0

Factor a trinomial.
4((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-5, 1}