2x(x-3)=x^2-9

Solution for 2x(x-3)=x^2-9 equation:

Simplifying
2x(x + -3) = x2 + -9

Reorder the terms:
2x(-3 + x) = x2 + -9
(-3 * 2x + x * 2x) = x2 + -9
(-6x + 2x2) = x2 + -9

Reorder the terms:
-6x + 2x2 = -9 + x2

Solving
-6x + 2x2 = -9 + x2

Solving for variable 'x'.

Reorder the terms:
9 + -6x + 2x2 + -1x2 = -9 + x2 + 9 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
9 + -6x + 1x2 = -9 + x2 + 9 + -1x2

Reorder the terms:
9 + -6x + 1x2 = -9 + 9 + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + -6x + 1x2 = 0 + x2 + -1x2
9 + -6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + -6x + 1x2 = 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}