(x-9)(-3x+11)=

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Solution for (x-9)(-3x+11)= equation: 


Simplifying
(x + -9)(-3x + 11) = 0

Reorder the terms:
(-9 + x)(-3x + 11) = 0

Reorder the terms:
(-9 + x)(11 + -3x) = 0

Multiply (-9 + x) * (11 + -3x)
(-9(11 + -3x) + x(11 + -3x)) = 0
((11 * -9 + -3x * -9) + x(11 + -3x)) = 0
((-99 + 27x) + x(11 + -3x)) = 0
(-99 + 27x + (11 * x + -3x * x)) = 0
(-99 + 27x + (11x + -3x2)) = 0

Combine like terms: 27x + 11x = 38x
(-99 + 38x + -3x2) = 0

Solving
-99 + 38x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + x)(11 + -3x) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {9, 3.666666667}

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