(30+1x)(480-10x)=0

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Solution for (30+1x)(480-10x)=0 equation: 


Simplifying
(30 + 1x)(480 + -10x) = 0

Multiply (30 + 1x) * (480 + -10x)
(30(480 + -10x) + 1x * (480 + -10x)) = 0
((480 * 30 + -10x * 30) + 1x * (480 + -10x)) = 0
((14400 + -300x) + 1x * (480 + -10x)) = 0
(14400 + -300x + (480 * 1x + -10x * 1x)) = 0
(14400 + -300x + (480x + -10x2)) = 0

Combine like terms: -300x + 480x = 180x
(14400 + 180x + -10x2) = 0

Solving
14400 + 180x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1440 + 18x + -1x2) = 0

Factor a trinomial.
10((48 + -1x)(30 + 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 '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30
Solution
x = {48, -30}

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