0=160x-5x^2

Solution for 0=160x-5x^2 equation:

Simplifying
0 = 160x + -5x2

Solving
0 = 160x + -5x2

Solving for variable 'x'.
Remove the zero:
-160x + 5x2 = 160x + -5x2 + -160x + 5x2

Reorder the terms:
-160x + 5x2 = 160x + -160x + -5x2 + 5x2

Combine like terms: 160x + -160x = 0
-160x + 5x2 = 0 + -5x2 + 5x2
-160x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-160x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-32 + x) = 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 '(-32 + x)' equal to zero and attempt to solve:

Simplifying
-32 + x = 0

Solving
-32 + x = 0

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

Add '32' to each side of the equation.
-32 + 32 + x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + x = 0 + 32
x = 0 + 32

Combine like terms: 0 + 32 = 32
x = 32

Simplifying
x = 32
Solution
x = {0, 32}