(4x+9)(5x-9)=0

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Solution for (4x+9)(5x-9)=0 equation: 


Simplifying
(4x + 9)(5x + -9) = 0

Reorder the terms:
(9 + 4x)(5x + -9) = 0

Reorder the terms:
(9 + 4x)(-9 + 5x) = 0

Multiply (9 + 4x) * (-9 + 5x)
(9(-9 + 5x) + 4x * (-9 + 5x)) = 0
((-9 * 9 + 5x * 9) + 4x * (-9 + 5x)) = 0
((-81 + 45x) + 4x * (-9 + 5x)) = 0
(-81 + 45x + (-9 * 4x + 5x * 4x)) = 0
(-81 + 45x + (-36x + 20x2)) = 0

Combine like terms: 45x + -36x = 9x
(-81 + 9x + 20x2) = 0

Solving
-81 + 9x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(9 + -5x) = 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 '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-2.25, 1.8}

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