X*x*(3*x-5)=22*x

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Solution for X*x*(3*x-5)=22*x equation: 


Simplifying
X * x(3x + -5) = 22x

Reorder the terms:
X * x(-5 + 3x) = 22x

Multiply X * x
xX(-5 + 3x) = 22x
(-5 * xX + 3x * xX) = 22x
(-5xX + 3x2X) = 22x

Solving
-5xX + 3x2X = 22x

Solving for variable 'x'.

Reorder the terms:
-22x + -5xX + 3x2X = 22x + -22x

Combine like terms: 22x + -22x = 0
-22x + -5xX + 3x2X = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-22 + -5X + 3xX) = 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 '(-22 + -5X + 3xX)' equal to zero and attempt to solve:

Simplifying
-22 + -5X + 3xX = 0

Solving
-22 + -5X + 3xX = 0

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

Add '22' to each side of the equation.
-22 + -5X + 22 + 3xX = 0 + 22

Reorder the terms:
-22 + 22 + -5X + 3xX = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -5X + 3xX = 0 + 22
-5X + 3xX = 0 + 22

Combine like terms: 0 + 22 = 22
-5X + 3xX = 22

Add '5X' to each side of the equation.
-5X + 5X + 3xX = 22 + 5X

Combine like terms: -5X + 5X = 0
0 + 3xX = 22 + 5X
3xX = 22 + 5X

Divide each side by '3X'.
x = 7.333333333X-1 + 1.666666667

Simplifying
x = 7.333333333X-1 + 1.666666667

Reorder the terms:
x = 1.666666667 + 7.333333333X-1
Solution
x = {0, 1.666666667 + 7.333333333X-1}

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