-5x^2+20x+1.6=1.6

Solution for -5x^2+20x+1.6=1.6 equation:

Simplifying
-5x2 + 20x + 1.6 = 1.6

Reorder the terms:
1.6 + 20x + -5x2 = 1.6

Add '-1.6' to each side of the equation.
1.6 + 20x + -1.6 + -5x2 = 1.6 + -1.6

Reorder the terms:
1.6 + -1.6 + 20x + -5x2 = 1.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 20x + -5x2 = 1.6 + -1.6
20x + -5x2 = 1.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
20x + -5x2 = 0.0

Solving
20x + -5x2 = 0.0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(4 + -1x) = 0.0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}