SOLUTION: How do you solve this problem? please show me step by step 5t(t+5)+(t-1)(t+6)

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Question 195459: How do you solve this problem? please show me step by step
5t(t+5)+(t-1)(t+6)
Answer by windsolace(8) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that expression equates to zero.
:
5t(t+5)+(t-1)(t+6)= 0
:
5(t^2) + 25t + (t-1)(t+6)= 0
:
:Expand the back part of the equation
:
5(t^2) + 25t + (t^2) + 5t - 6 = 0
:
6(t^2) + 30t - 6 = 0
:
(t^2) + 5t - 1 = 0
:
Using formula:
:
t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
t+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A%28-1%29%29%29%2F%282%2Aa%29+
:
t= 0.193(approx. 3 significant figures) or t= -5.19(aprrox. 3 significant figures)