(4x-9)(9x+2)=0

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Solution for (4x-9)(9x+2)=0 equation: 


Simplifying
(4x + -9)(9x + 2) = 0

Reorder the terms:
(-9 + 4x)(9x + 2) = 0

Reorder the terms:
(-9 + 4x)(2 + 9x) = 0

Multiply (-9 + 4x) * (2 + 9x)
(-9(2 + 9x) + 4x * (2 + 9x)) = 0
((2 * -9 + 9x * -9) + 4x * (2 + 9x)) = 0
((-18 + -81x) + 4x * (2 + 9x)) = 0
(-18 + -81x + (2 * 4x + 9x * 4x)) = 0
(-18 + -81x + (8x + 36x2)) = 0

Combine like terms: -81x + 8x = -73x
(-18 + -73x + 36x2) = 0

Solving
-18 + -73x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -9x)(9 + -4x) = 0


Subproblem 1
Set the factor '(-2 + -9x)' equal to zero and attempt to solve:

Simplifying
-2 + -9x = 0

Solving
-2 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -9x = 0 + 2

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

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

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

Subproblem 2
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
Solution
x = {-0.2222222222, 2.25}

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