(80-3x)*(140-3x)=5500

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Solution for (80-3x)*(140-3x)=5500 equation: 


Simplifying
(80 + -3x)(140 + -3x) = 5500

Multiply (80 + -3x) * (140 + -3x)
(80(140 + -3x) + -3x * (140 + -3x)) = 5500
((140 * 80 + -3x * 80) + -3x * (140 + -3x)) = 5500
((11200 + -240x) + -3x * (140 + -3x)) = 5500
(11200 + -240x + (140 * -3x + -3x * -3x)) = 5500
(11200 + -240x + (-420x + 9x2)) = 5500

Combine like terms: -240x + -420x = -660x
(11200 + -660x + 9x2) = 5500

Solving
11200 + -660x + 9x2 = 5500

Solving for variable 'x'.

Reorder the terms:
11200 + -5500 + -660x + 9x2 = 5500 + -5500

Combine like terms: 11200 + -5500 = 5700
5700 + -660x + 9x2 = 5500 + -5500

Combine like terms: 5500 + -5500 = 0
5700 + -660x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1900 + -220x + 3x2) = 0

Factor a trinomial.
3((10 + -1x)(190 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(190 + -3x)' equal to zero and attempt to solve:

Simplifying
190 + -3x = 0

Solving
190 + -3x = 0

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

Add '-190' to each side of the equation.
190 + -190 + -3x = 0 + -190

Combine like terms: 190 + -190 = 0
0 + -3x = 0 + -190
-3x = 0 + -190

Combine like terms: 0 + -190 = -190
-3x = -190

Divide each side by '-3'.
x = 63.33333333

Simplifying
x = 63.33333333
Solution
x = {10, 63.33333333}

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