(-9x+8)(9-11x)=

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Solution for (-9x+8)(9-11x)= equation:


Simplifying
(-9x + 8)(9 + -11x) = 0

Reorder the terms:
(8 + -9x)(9 + -11x) = 0

Multiply (8 + -9x) * (9 + -11x)
(8(9 + -11x) + -9x * (9 + -11x)) = 0
((9 * 8 + -11x * 8) + -9x * (9 + -11x)) = 0
((72 + -88x) + -9x * (9 + -11x)) = 0
(72 + -88x + (9 * -9x + -11x * -9x)) = 0
(72 + -88x + (-81x + 99x2)) = 0

Combine like terms: -88x + -81x = -169x
(72 + -169x + 99x2) = 0

Solving
72 + -169x + 99x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(9 + -11x)' equal to zero and attempt to solve:

Simplifying
9 + -11x = 0

Solving
9 + -11x = 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 + -11x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = 0 + -9
-11x = 0 + -9

Combine like terms: 0 + -9 = -9
-11x = -9

Divide each side by '-11'.
x = 0.8181818182

Simplifying
x = 0.8181818182

Subproblem 2
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 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 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889
Solution
x = {0.8181818182, 0.8888888889}

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