SOLUTION: x squared=2x + 24

Question 269040: x squared=2x + 24
Answer by persian52(161) (Show Source): You can put this solution on YOUR website!
x^(2)=2x+24
Since 2x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2x from both sides.
x^(2)-2x=24
To set the left-hand side of the equation equal to 0, move all the expressions to the left-hand side.
x^(2)-2x-24=0
For a polynomial of the form x^(2)+bx+c, find two factors of c (-24) that add up to b (-2). In this problem 4*-6=-24 and 4-6=-2, so insert 4 as the right hand term of one factor and -6 as the right-hand term of the other factor.
(x+4)(x-6)=0
Set each of the factors of the left-hand side of the equation equal to 0.
x+4=0_x-6=0
Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.
x=-4_x-6=0
Set each of the factors of the left-hand side of the equation equal to 0.
x=-4_x-6=0
Since -6 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 6 to both sides.
x=-4_x=6
The complete solution is the set of the individual solutions.
Answer: x=-4,6
RELATED QUESTIONS
simplify x squared -2x-24 over 16-x... (answered by jim_thompson5910)

solve the following quadratic eqautions x squared-8x+12=0 x squared... (answered by scott8148)

Find the quotent 2X Squared - 5X -12 Divided by 4X squared - 9 (answered by vleith)

One factor of x squared - 2X -24 is: A. (x - 24) B. (x - 4) C. (x - 6) D. (x + 6) (answered by checkley75)

2x squared - 5x-24 =... (answered by stanbon)

X squared plus 10x... (answered by shree840)

x-24/x=-2x (answered by checkley77)

i need help with x squared minus 2x plus 1 equal... (answered by stanbon)

i am lost how do i solve x squared -2x=24 by... (answered by rfer,MathLover1)