# Thread: Lost on this equation

1. ## Lost on this equation

I am trying to figure out the steps to solve this equation:

(t-5)^2=2t^2-7t-3

I dont even know how to start this.
And I cant seem to find an example in the book.

Thanks,

2. Originally Posted by GeinoD
I am trying to figure out the steps to solve this equation:

(t-5)^2=2t^2-7t-3

I dont even know how to start this.
And I cant seem to find an example in the book.

Thanks,
1. Expand the LHS
2. Collect all terms at the LHS
4. I've got: $x = -\frac32 \pm \frac12 \cdot \sqrt{121}$

EDIT: Found my mistake!

3. Originally Posted by GeinoD
I am trying to figure out the steps to solve this equation:

(t-5)^2=2t^2-7t-3

I dont even know how to start this.
And I cant seem to find an example in the book.

Thanks,
Try expanding the left hand side

$(t-5)^2=2t^2-7t-3 \iff t^2-10t+25=2t^2-7t-3
$

Now collect all of you like terms.

$0=t^2+3t-28$

You should be able to finish from here