SOLUTION: Use factoring to solve this equation. (Here's a hint: Clear the parentheses first.) x(x + 7) = 4(3 + 2x)

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Question 1036538: Use factoring to solve this equation. (Here's a hint: Clear the parentheses first.)
x(x + 7) = 4(3 + 2x)
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
hint means simple distribution or multiplying
gather everything on left side so subtract 12 and 8x from both sides


several ways to solve this i chose the fast way which is finding two numbers that multiply to get -12 and add to get -1 these numbers come from: find 2 numbers that multiply to get c and add to get b in the quadratic equation formula
a and a multiply to and add to

x= 4 , -3
if you cant get that trick down just do the long quadratic equation:
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=49 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4, -3. Here's your graph:
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