(300-20x)*(8+1x)=

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Solution for (300-20x)*(8+1x)= equation: 


Simplifying
(300 + -20x)(8 + 1x) = 0

Multiply (300 + -20x) * (8 + 1x)
(300(8 + 1x) + -20x * (8 + 1x)) = 0
((8 * 300 + 1x * 300) + -20x * (8 + 1x)) = 0
((2400 + 300x) + -20x * (8 + 1x)) = 0
(2400 + 300x + (8 * -20x + 1x * -20x)) = 0
(2400 + 300x + (-160x + -20x2)) = 0

Combine like terms: 300x + -160x = 140x
(2400 + 140x + -20x2) = 0

Solving
2400 + 140x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(120 + 7x + -1x2) = 0

Factor a trinomial.
20((15 + -1x)(8 + x)) = 0

Ignore the factor 20.

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

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {15, -8}

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