SOLUTION: How can I solve x^2-12x=-36 by factoring? So far This is the work I have accomplished: X^2-12x=-36. Stating the original problem X^2-12x+36=0 Add 36 to each side (x-6)(x-6)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: How can I solve x^2-12x=-36 by factoring? So far This is the work I have accomplished: X^2-12x=-36. Stating the original problem X^2-12x+36=0 Add 36 to each side (x-6)(x-6)      Log On


   

Question 430697: How can I solve x^2-12x=-36 by factoring?
So far This is the work I have accomplished:
X^2-12x=-36. Stating the original problem
X^2-12x+36=0 Add 36 to each side
(x-6)(x-6). Factoring
But then I get confused.
Can you help?
Found 2 solutions by josmiceli, oberobic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You solved it
x%5E2-12x%2B36=0
(1) +%28x+-+6%29%5E2+=+0+
This is called a double root.
The graph touches the x-axis in one place
What value of x makes (1) true?
x+=+6 makes it true. That's the solution.
Here's the graph:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-+12x+%2B+36%29+

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
How can I solve x^2-12x=-36 by factoring?
So far This is the work I have accomplished:
X^2-12x=-36. Stating the original problem
X^2-12x+36=0 Add 36 to each side
(x-6)(x-6). Factoring
But then I get confused.
Can you help?
.
I'd say you got it right.
You can check your work by doing the multiplication:
(x-6)(x-6)=x^2 -6x -6x + 36
Collecting like terms
(x-6)(x-6) = x^2 -12x + 36
.
Done