9x=3x(x-5)

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Solution for 9x=3x(x-5) equation: 


Simplifying
9x = 3x(x + -5)

Reorder the terms:
9x = 3x(-5 + x)
9x = (-5 * 3x + x * 3x)
9x = (-15x + 3x2)

Solving
9x = -15x + 3x2

Solving for variable 'x'.

Combine like terms: 9x + 15x = 24x
24x + -3x2 = -15x + 3x2 + 15x + -3x2

Reorder the terms:
24x + -3x2 = -15x + 15x + 3x2 + -3x2

Combine like terms: -15x + 15x = 0
24x + -3x2 = 0 + 3x2 + -3x2
24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + -1x) = 0

Ignore the factor 3.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {0, 8}

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