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

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Solution for (1-x)(5x-9)=0 equation: 


Simplifying
(1 + -1x)(5x + -9) = 0

Reorder the terms:
(1 + -1x)(-9 + 5x) = 0

Multiply (1 + -1x) * (-9 + 5x)
(1(-9 + 5x) + -1x * (-9 + 5x)) = 0
((-9 * 1 + 5x * 1) + -1x * (-9 + 5x)) = 0
((-9 + 5x) + -1x * (-9 + 5x)) = 0
(-9 + 5x + (-9 * -1x + 5x * -1x)) = 0
(-9 + 5x + (9x + -5x2)) = 0

Combine like terms: 5x + 9x = 14x
(-9 + 14x + -5x2) = 0

Solving
-9 + 14x + -5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + 5x)(1 + -1x) = 0


Subproblem 1
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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {1.8, 1}

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