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

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


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

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

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

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

Multiply (-9 + 5x) * (2 + 9x)
x(-9(2 + 9x) + 5x * (2 + 9x)) = 0
x((2 * -9 + 9x * -9) + 5x * (2 + 9x)) = 0
x((-18 + -81x) + 5x * (2 + 9x)) = 0
x(-18 + -81x + (2 * 5x + 9x * 5x)) = 0
x(-18 + -81x + (10x + 45x2)) = 0

Combine like terms: -81x + 10x = -71x
x(-18 + -71x + 45x2) = 0
(-18 * x + -71x * x + 45x2 * x) = 0
(-18x + -71x2 + 45x3) = 0

Solving
-18x + -71x2 + 45x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + -71x + 45x2) = 0

Factor a trinomial.
x((-2 + -9x)(9 + -5x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-2 + -9x)' equal to zero and attempt to solve:

Simplifying
-2 + -9x = 0

Solving
-2 + -9x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -9x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = 0 + 2
-9x = 0 + 2

Combine like terms: 0 + 2 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

Subproblem 3
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
Solution
x = {0, -0.2222222222, 1.8}

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