0=(9-x)(11-2x)

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Solution for 0=(9-x)(11-2x) equation: 


Simplifying
0 = (9 + -1x)(11 + -2x)

Multiply (9 + -1x) * (11 + -2x)
0 = (9(11 + -2x) + -1x * (11 + -2x))
0 = ((11 * 9 + -2x * 9) + -1x * (11 + -2x))
0 = ((99 + -18x) + -1x * (11 + -2x))
0 = (99 + -18x + (11 * -1x + -2x * -1x))
0 = (99 + -18x + (-11x + 2x2))

Combine like terms: -18x + -11x = -29x
0 = (99 + -29x + 2x2)

Solving
0 = 99 + -29x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -99 = -99
-99 + 29x + -2x2 = 99 + -29x + 2x2 + -99 + 29x + -2x2

Reorder the terms:
-99 + 29x + -2x2 = 99 + -99 + -29x + 29x + 2x2 + -2x2

Combine like terms: 99 + -99 = 0
-99 + 29x + -2x2 = 0 + -29x + 29x + 2x2 + -2x2
-99 + 29x + -2x2 = -29x + 29x + 2x2 + -2x2

Combine like terms: -29x + 29x = 0
-99 + 29x + -2x2 = 0 + 2x2 + -2x2
-99 + 29x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-99 + 29x + -2x2 = 0

Factor a trinomial.
(-9 + x)(11 + -2x) = 0


Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 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 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {9, 5.5}

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