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

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


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

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

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

Multiply (-4 + 9x) * (-9 + 4x)
(-4(-9 + 4x) + 9x * (-9 + 4x)) = 0
((-9 * -4 + 4x * -4) + 9x * (-9 + 4x)) = 0
((36 + -16x) + 9x * (-9 + 4x)) = 0
(36 + -16x + (-9 * 9x + 4x * 9x)) = 0
(36 + -16x + (-81x + 36x2)) = 0

Combine like terms: -16x + -81x = -97x
(36 + -97x + 36x2) = 0

Solving
36 + -97x + 36x2 = 0

Solving for variable 'x'.

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


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

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

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

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

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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 = {0.4444444444, 2.25}

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