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

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


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

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

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

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

Combine like terms: -45x + -4x = -49x
(20 + -49x + 9x2) = 0

Solving
20 + -49x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -9x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {0.4444444444, 5}

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