(9X-8)(4X+9)=

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Solution for (9X-8)(4X+9)= equation: 


Simplifying
(9X + -8)(4X + 9) = 0

Reorder the terms:
(-8 + 9X)(4X + 9) = 0

Reorder the terms:
(-8 + 9X)(9 + 4X) = 0

Multiply (-8 + 9X) * (9 + 4X)
(-8(9 + 4X) + 9X * (9 + 4X)) = 0
((9 * -8 + 4X * -8) + 9X * (9 + 4X)) = 0
((-72 + -32X) + 9X * (9 + 4X)) = 0
(-72 + -32X + (9 * 9X + 4X * 9X)) = 0
(-72 + -32X + (81X + 36X2)) = 0

Combine like terms: -32X + 81X = 49X
(-72 + 49X + 36X2) = 0

Solving
-72 + 49X + 36X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-9 + -4X)(8 + -9X) = 0


Subproblem 1
Set the factor '(-9 + -4X)' equal to zero and attempt to solve:

Simplifying
-9 + -4X = 0

Solving
-9 + -4X = 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 + -4X = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4X = 0 + 9
-4X = 0 + 9

Combine like terms: 0 + 9 = 9
-4X = 9

Divide each side by '-4'.
X = -2.25

Simplifying
X = -2.25

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 = {-2.25, 0.8888888889}

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