(4x+9)(9x-8)=0

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Solution for (4x+9)(9x-8)=0 equation: 


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

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

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

Multiply (9 + 4x) * (-8 + 9x)
(9(-8 + 9x) + 4x * (-8 + 9x)) = 0
((-8 * 9 + 9x * 9) + 4x * (-8 + 9x)) = 0
((-72 + 81x) + 4x * (-8 + 9x)) = 0
(-72 + 81x + (-8 * 4x + 9x * 4x)) = 0
(-72 + 81x + (-32x + 36x2)) = 0

Combine like terms: 81x + -32x = 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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