Question

Solve each equation.

t(t - 12)+t(t+2)+25=2t(t - 5) - 15

Answer 1

t(t-12) + t(t+12) + 25 = 2t(t-5) - 15,

Factor out t:
t(t-12 + t + 12) + 25 = 2t(t-5) - 15,
t(2t) +25 = 2t^2 - 10t - 15,
2t^2 -2t^2 +10t = - 15 - 25,
10t = -40,
t =-4.