Question

solve the equation
1)10t^2=2t^3-72t

2)4(y^2+10)-3y(y+4)=2(y-4)

Answer 1

\(\large\color{black}{ 10t^2=2t^3-72t }\)

\(\large\color{black}{ 10t^2 \color{blue}{-10t^2}=2t^3\color{blue}{-10t^2}-72t }\)

\(\large\color{black}{ 0=2t^3-10t^2-72t }\)

Answer 2

Factor out of 2t:

\(\large\color{black}{ 0=2t(t^2-5t-32) }\)

Answer 3

then you have:

\(\large\color{black}{ 0=2t }\)

\(\large\color{black}{ 0=t^2-5t-32 }\)