x(800+x)x(100+30)=

Solution for x(800+x)x(100+30)= equation:

Simplifying
x(800 + x) * x(100 + 30) = 0

Combine like terms: 100 + 30 = 130
x(800 + x) * x(130) = 0

Reorder the terms for easier multiplication:
130x * x(800 + x) = 0

Multiply x * x
130x2(800 + x) = 0
(800 * 130x2 + x * 130x2) = 0
(104000x2 + 130x3) = 0

Solving
104000x2 + 130x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '130x2'.
130x2(800 + x) = 0

Ignore the factor 130.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(800 + x)' equal to zero and attempt to solve:

Simplifying
800 + x = 0

Solving
800 + x = 0

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

Add '-800' to each side of the equation.
800 + -800 + x = 0 + -800

Combine like terms: 800 + -800 = 0
0 + x = 0 + -800
x = 0 + -800

Combine like terms: 0 + -800 = -800
x = -800

Simplifying
x = -800
Solution
x = {0, -800}