The following equation has three solutions. Look for the greatest common factor, then use the quadratic formula to find all solutions.

Question

10t^5 + 5t^4 = 50t^3

Answer 1

10t^5 + 5t^4 - 50t^3 = 0
t^3( 2t^2 + t - 10) = 0
t^3(2t+5)(t-2) = 0
t = 0 or t = -5/2 or t = 2