9(x-5)2(5x-1)=

Solution for 9(x-5)2(5x-1)= equation:

Simplifying
9(x + -5) * 2(5x + -1) = 0

Reorder the terms:
9(-5 + x) * 2(5x + -1) = 0

Reorder the terms:
9(-5 + x) * 2(-1 + 5x) = 0

Reorder the terms for easier multiplication:
9 * 2(-5 + x)(-1 + 5x) = 0

Multiply 9 * 2
18(-5 + x)(-1 + 5x) = 0

Multiply (-5 + x) * (-1 + 5x)
18(-5(-1 + 5x) + x(-1 + 5x)) = 0
18((-1 * -5 + 5x * -5) + x(-1 + 5x)) = 0
18((5 + -25x) + x(-1 + 5x)) = 0
18(5 + -25x + (-1 * x + 5x * x)) = 0
18(5 + -25x + (-1x + 5x2)) = 0

Combine like terms: -25x + -1x = -26x
18(5 + -26x + 5x2) = 0
(5 * 18 + -26x * 18 + 5x2 * 18) = 0
(90 + -468x + 90x2) = 0

Solving
90 + -468x + 90x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(5 + -26x + 5x2) = 0

Factor a trinomial.
18((1 + -5x)(5 + -1x)) = 0

Ignore the factor 18.
Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
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 = {0.2, 5}