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
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