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!
<pre>(5x + 5)(x + m) = {{{5x^2 + 15x + 10}}}
5x(x + m) + 5(x + m) = {{{5x^2 + 5mx + 5x + 5m}}}
When {{{5x^2 + highlight(5mx + 5x) + highlight_green(5m)}}} is equated to {{{5x^2 + highlight(15x) + highlight_green(10)}}}, we find that: 5mx + 5x = 15x, and that 5m = 10
Solve any of these 2 for m, and you should get: {{{highlight_green(m = 2)}}}