Solve the equation t² - t = 12 by factoring.

Solution:

Rewriting the above equation we have:

 t² - t -12= 0

We solve this quadratic equation by splitting the middle terms.

 t² - 4t  + 3t - 12 = 0

t(t - 4) + 3(t - 4) = 0

(t - 4)(t + 3) = 0

The zeroes of the equation can be found out by equating the factors with zero in the manner below:

t - 4 = 0

⇒ t = 4

t + 3 = 0

⇒ t = -3

Hence the roots of the equation are t = 4 & t = -3

Solve the equation t² - t = 12 by factoring.

Summary:

Solving the equation t² - t = 12 by factoring we get t = 4 and t = -3.