(600-30x)(6+0.50x)=

Solution for (600-30x)(6+0.50x)= equation:

Simplifying
(600 + -30x)(6 + 0.50x) = 0

Multiply (600 + -30x) * (6 + 0.50x)
(600(6 + 0.50x) + -30x * (6 + 0.50x)) = 0
((6 * 600 + 0.50x * 600) + -30x * (6 + 0.50x)) = 0
((3600 + 300x) + -30x * (6 + 0.50x)) = 0
(3600 + 300x + (6 * -30x + 0.50x * -30x)) = 0
(3600 + 300x + (-180x + -15x2)) = 0

Combine like terms: 300x + -180x = 120x
(3600 + 120x + -15x2) = 0

Solving
3600 + 120x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '15'.
15(240 + 8x + -1x2) = 0

Factor a trinomial.
15((20 + -1x)(12 + x)) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {20, -12}