SOLUTION: How do you factor trinomials that are equal to something such as:x^2-x+56=17x

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Question 31992This question is from textbook Algebra1
: How do you factor trinomials that are equal to something such as:x^2-x+56=17x
This question is from textbook Algebra1

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, first, you need to get you quadratic equation into the standard form ax%5E2+%2B+bx+%2B+c+=+0. So you'll need to get everything on one side of the = sign.
x%5E2-x%2B56+=+17x Subtract 17x from both sides of the equation.
x%5E2+-+x+%2B+56+-+17x+=+0 Simplify.
x%5E2+-+18x+%2B+56+=+0 Now you can factor the equation.
x+-+4%29%28x+-+14%29+=+0 Apply the zero products principle if you want to solve for x.
x-4+=+0 and/or x+-+14+=+0
If x+-+4+=+0 then x+=+4
If x+-+14+=+0 then x+=+14
The roots are:
x = 4
x = 14