(9x-8)(2x-9)=0

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Solution for (9x-8)(2x-9)=0 equation: 


Simplifying
(9x + -8)(2x + -9) = 0

Reorder the terms:
(-8 + 9x)(2x + -9) = 0

Reorder the terms:
(-8 + 9x)(-9 + 2x) = 0

Multiply (-8 + 9x) * (-9 + 2x)
(-8(-9 + 2x) + 9x * (-9 + 2x)) = 0
((-9 * -8 + 2x * -8) + 9x * (-9 + 2x)) = 0
((72 + -16x) + 9x * (-9 + 2x)) = 0
(72 + -16x + (-9 * 9x + 2x * 9x)) = 0
(72 + -16x + (-81x + 18x2)) = 0

Combine like terms: -16x + -81x = -97x
(72 + -97x + 18x2) = 0

Solving
72 + -97x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -9x)(9 + -2x) = 0


Subproblem 1
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

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

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0.8888888889, 4.5}

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