Question 1027817

Solving using the quadratic formula.

7x(x+2)+5=3x(x+1)       

Do you first subtract the 3x^2 from 7x^2? I'm not 100% on how to work this through.
<pre>7x(x + 2) + 5 = 3x(x + 1)
{{{7x^2 + 14x + 5 = 3x^2 + 3x}}} -------- Distributing
{{{7x^2 - 3x^2 + 14x - 3x + 5 = 0}}} ----- Subtracting {{{3x^2}}} from each side, as you surmised
{{{4x^2 + 11x + 5 = 0}}}
Solve using the quadratic equation formula, as instructed.
a = 4
b = 11
c = 5