Question

7t^3=2t(t+5/2)

Answer 1

distribute 2t first
\[\implies 7t^3 = 2t(t) + 2t(\frac 52)\]
simplify...
\[\implies 7t^3 = 2t^2 + 5t\]
put everything on one side
\[\implies 7t^3 - 2t^2 - 5t = 0\]

can you solve for t now?

Answer 2

i thnk so

Answer 3

wonderful

Answer 4

im at t(7t^2-2t-5)

Answer 5

good. now equate the factors to 0

Answer 6

@kingkri One answer is t=0, and 7t^2-2t-5 =0
You could find the other two values of t by factoring trinomials.
Or applying the Quadratic Formula:
\[t=−b± \frac{ \sqrt{b ^{2}−4ac} }{ 2a }\]
Can u find a=?, b=? and c=?