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

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


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

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

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

Multiply (-4 + 5x) * (-4 + 9x)
(-4(-4 + 9x) + 5x * (-4 + 9x)) = 0
((-4 * -4 + 9x * -4) + 5x * (-4 + 9x)) = 0
((16 + -36x) + 5x * (-4 + 9x)) = 0
(16 + -36x + (-4 * 5x + 9x * 5x)) = 0
(16 + -36x + (-20x + 45x2)) = 0

Combine like terms: -36x + -20x = -56x
(16 + -56x + 45x2) = 0

Solving
16 + -56x + 45x2 = 0

Solving for variable 'x'.

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

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0.4444444444, 0.8}

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