(9x-99)(8-x)=0

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Solution for (9x-99)(8-x)=0 equation: 


Simplifying
(9x + -99)(8 + -1x) = 0

Reorder the terms:
(-99 + 9x)(8 + -1x) = 0

Multiply (-99 + 9x) * (8 + -1x)
(-99(8 + -1x) + 9x * (8 + -1x)) = 0
((8 * -99 + -1x * -99) + 9x * (8 + -1x)) = 0
((-792 + 99x) + 9x * (8 + -1x)) = 0
(-792 + 99x + (8 * 9x + -1x * 9x)) = 0
(-792 + 99x + (72x + -9x2)) = 0

Combine like terms: 99x + 72x = 171x
(-792 + 171x + -9x2) = 0

Solving
-792 + 171x + -9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-88 + 19x + -1x2) = 0

Factor a trinomial.
9((-11 + x)(8 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {11, 8}

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