Question

15 x (x+1) = 10 x (x+2) solve for 'x'

Answer 1

Answer is x= 1
Because
15 x (x+1) = 10 x (x+2)15x +15 = 10x + 20-10x        -10x5x +15 = 20    -15   -155x=55x/5=5/5x=1

Answer 2

15x(x+1)=10x(x+2)
15x^2+15x=10x^2+20x

5x^2-5x=0

Solve using quadratic formula:
a=5 b=-5 c=0

x=$\frac{-b+- \sqrt{ b^{2}-4ac} }{2a}$

x=$\frac{-5+- \sqrt{25} }{10}$

x=$\frac{5+-5}{10}$

x={1,0}