(15+2x)(300-10x)=5980

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Solution for (15+2x)(300-10x)=5980 equation: 


Simplifying
(15 + 2x)(300 + -10x) = 5980

Multiply (15 + 2x) * (300 + -10x)
(15(300 + -10x) + 2x * (300 + -10x)) = 5980
((300 * 15 + -10x * 15) + 2x * (300 + -10x)) = 5980
((4500 + -150x) + 2x * (300 + -10x)) = 5980
(4500 + -150x + (300 * 2x + -10x * 2x)) = 5980
(4500 + -150x + (600x + -20x2)) = 5980

Combine like terms: -150x + 600x = 450x
(4500 + 450x + -20x2) = 5980

Solving
4500 + 450x + -20x2 = 5980

Solving for variable 'x'.

Reorder the terms:
4500 + -5980 + 450x + -20x2 = 5980 + -5980

Combine like terms: 4500 + -5980 = -1480
-1480 + 450x + -20x2 = 5980 + -5980

Combine like terms: 5980 + -5980 = 0
-1480 + 450x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-148 + 45x + -2x2) = 0

Factor a trinomial.
10((-37 + 2x)(4 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-37 + 2x)' equal to zero and attempt to solve:

Simplifying
-37 + 2x = 0

Solving
-37 + 2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + 2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 2x = 0 + 37
2x = 0 + 37

Combine like terms: 0 + 37 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {18.5, 4}

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