SOLUTION: Please help solve this problem, thanks x^2 + 9 = 2x + 44

Click here to see ALL problems on Expressions-with-variables

Question 122967: Please help solve this problem, thanks
x^2 + 9 = 2x + 44
Found 2 solutions by infinity9001, ilana:
Answer by infinity9001(2) (Show Source):
You can put this solution on YOUR website!
Take 2x and put it on the the other side of equation.
x^2 - 2x + 9 = 44
Now, take the 44 and put it across the euqal sign.:
x^2 - 2x - 35= 0
Now factor:
(x - 7)(x+5)= 0
now you have two equations. you get two seperate answers.
x= 7 or -5
Check your answer by filling it in to the equation and pick the best one.

Answer by ilana(307) (Show Source):
You can put this solution on YOUR website!
To solve a quadratic equation (the x^2 makes this one of those), you need it to be in the form ax^2+bx+c=0. So First get all of the terms to the left side:
x^2 + 9 - 2x - 44 = 0
Now simplify:
x^2 - 2x - 35 = 0
Now you can SOMETIMES factor this into two binomials to solve (this is more convenient in some cases), or you can ALWAYS use the quadratic formula to solve. In this case, since 5*7=35 and 5-7=-2, you can factor it into (x+5)(x-7)=0. So the solutions are x=-5 and x=7, or x=-5,7.