(40+2x)(240-5x)=0

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Solution for (40+2x)(240-5x)=0 equation: 


Simplifying
(40 + 2x)(240 + -5x) = 0

Multiply (40 + 2x) * (240 + -5x)
(40(240 + -5x) + 2x * (240 + -5x)) = 0
((240 * 40 + -5x * 40) + 2x * (240 + -5x)) = 0
((9600 + -200x) + 2x * (240 + -5x)) = 0
(9600 + -200x + (240 * 2x + -5x * 2x)) = 0
(9600 + -200x + (480x + -10x2)) = 0

Combine like terms: -200x + 480x = 280x
(9600 + 280x + -10x2) = 0

Solving
9600 + 280x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(960 + 28x + -1x2) = 0

Factor a trinomial.
10((48 + -1x)(20 + x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48

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

Simplifying
20 + x = 0

Solving
20 + x = 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 + x = 0 + -20

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

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

Simplifying
x = -20
Solution
x = {48, -20}

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