(6-x)(x+100)=

Solution for (6-x)(x+100)= equation:

Simplifying
(6 + -1x)(x + 100) = 0

Reorder the terms:
(6 + -1x)(100 + x) = 0

Multiply (6 + -1x) * (100 + x)
(6(100 + x) + -1x * (100 + x)) = 0
((100 * 6 + x * 6) + -1x * (100 + x)) = 0
((600 + 6x) + -1x * (100 + x)) = 0
(600 + 6x + (100 * -1x + x * -1x)) = 0
(600 + 6x + (-100x + -1x2)) = 0

Combine like terms: 6x + -100x = -94x
(600 + -94x + -1x2) = 0

Solving
600 + -94x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(100 + x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(100 + x)' equal to zero and attempt to solve:

Simplifying
100 + x = 0

Solving
100 + x = 0

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

Add '-100' to each side of the equation.
100 + -100 + x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + x = 0 + -100
x = 0 + -100

Combine like terms: 0 + -100 = -100
x = -100

Simplifying
x = -100
Solution
x = {6, -100}