x(x-9)=-3x

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Solution for x(x-9)=-3x equation: 


Simplifying
x(x + -9) = -3x

Reorder the terms:
x(-9 + x) = -3x
(-9 * x + x * x) = -3x
(-9x + x2) = -3x

Solving
-9x + x2 = -3x

Solving for variable 'x'.

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

Combine like terms: -9x + 3x = -6x
-6x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-6x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}

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