# How do you solve # t(t + 4) - 1 = t(t + 2) + 2#?

##### 1 Answer

Aug 2, 2016

#### Explanation:

Distribute the brackets.

#rArrt^2+4t-1=t^2+2t+2# Collect 'like terms'

Terms in t to the left and numeric values to the right.

#cancel(t^2)+4t-cancel(t^2)-2t=2+1# Hence : 2t = 3

divide both sides by 2 to solve for t.

#(cancel(2)^1 t)/cancel(2)^1=3/2rArrt=3/2#