(x+80)(5x)=

Solution for (x+80)(5x)= equation:

Simplifying
(x + 80)(5x) = 0

Reorder the terms:
(80 + x)(5x) = 0

Remove parenthesis around (5x)
(80 + x) * 5x = 0

Reorder the terms for easier multiplication:
5x(80 + x) = 0
(80 * 5x + x * 5x) = 0
(400x + 5x2) = 0

Solving
400x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(80 + 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 '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Solution
x = {0, -80}