x^2*9+x=3x

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Solution for x^2*9+x=3x equation: 


Simplifying
x2 * 9 + x = 3x

Reorder the terms for easier multiplication:
9x2 + x = 3x

Reorder the terms:
x + 9x2 = 3x

Solving
x + 9x2 = 3x

Solving for variable 'x'.

Reorder the terms:
x + -3x + 9x2 = 3x + -3x

Combine like terms: x + -3x = -2x
-2x + 9x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-2x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 9x) = 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
Solution
x = {0, 0.2222222222}

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