SOLUTION: What value of M (The variable) makes this equation true? (5x+5)(x+m)=5x^2+15x+10 This question is about polynomials. Thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What value of M (The variable) makes this equation true? (5x+5)(x+m)=5x^2+15x+10 This question is about polynomials. Thank you!      Log On


   



Question 1029956: What value of M (The variable) makes this equation true?
(5x+5)(x+m)=5x^2+15x+10
This question is about polynomials. Thank you!

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The strategy should be this:
Perform the necessary operations to simplify the equation into either general form or standard form. The independent variable for this should be x. Form the expression for the Discriminant, and relate this to greater than or equal to zero, and solve for m.

Try that fully before asking further for help on this.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What value of M (The variable) makes this equation true?
(5x+5)(x+m)=5x^2+15x+10
This question is about polynomials. Thank you!
(5x + 5)(x + m) = 5x%5E2+%2B+15x+%2B+10
5x(x + m) + 5(x + m) = 5x%5E2+%2B+5mx+%2B+5x+%2B+5m
When 5x%5E2+%2B+highlight%285mx+%2B+5x%29+%2B+highlight_green%285m%29 is equated to 5x%5E2+%2B+highlight%2815x%29+%2B+highlight_green%2810%29, we find that: 5mx + 5x = 15x, and that 5m = 10
Solve any of these 2 for m, and you should get: highlight_green%28m+=+2%29