# How do you solve t^2 - t = 12 ?

Jul 31, 2016

$t = 4$
$t = - 3$

#### Explanation:

${t}^{2} - t = 12$
or
${t}^{2} - t - 12 = 0$
or
${t}^{2} - 4 t + 3 t - 12 = 0$
or
$t \left(t - 4\right) + 3 \left(t - 4\right) = 0$
or
$\left(t - 4\right) \left(t + 3\right) = 0$
or
$\left(t - 4\right) = 0$
or
$t = 4$=======Ans $1$
or
$\left(t + 3\right) = 0$
or
$t = - 3$=======Ans $2$