5x(x+9)=x

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


Simplifying
5x(x + 9) = x

Reorder the terms:
5x(9 + x) = x
(9 * 5x + x * 5x) = x
(45x + 5x2) = x

Solving
45x + 5x2 = x

Solving for variable 'x'.

Reorder the terms:
45x + -1x + 5x2 = x + -1x

Combine like terms: 45x + -1x = 44x
44x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
44x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(44 + 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 '(44 + 5x)' equal to zero and attempt to solve:

Simplifying
44 + 5x = 0

Solving
44 + 5x = 0

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

Add '-44' to each side of the equation.
44 + -44 + 5x = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 5x = 0 + -44
5x = 0 + -44

Combine like terms: 0 + -44 = -44
5x = -44

Divide each side by '5'.
x = -8.8

Simplifying
x = -8.8
Solution
x = {0, -8.8}

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