x(x-3)=3(x-3)

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


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

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

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

Solving
-3x + x2 = -9 + 3x

Solving for variable 'x'.

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

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

Reorder the terms:
9 + -6x + x2 = -9 + 9 + 3x + -3x

Combine like terms: -9 + 9 = 0
9 + -6x + x2 = 0 + 3x + -3x
9 + -6x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -6x + x2 = 0

Factor a trinomial.
(3 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3, 3}

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