SOLUTION: Solve 2x ( x + 3 ) = x + 25

Question 167807: Solve 2x ( x + 3 ) = x + 25
Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!
Use the distributive property to multiply the first part of the equation.
2x^2+6x=x+25
subtract x from both sides
2x^2+5x=25
Subtract 25 from both sides
2x^2+5x-25=0
this is a 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=225 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.5, -5. Here's your graph:

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