How do you factor and solve $t+24=t(t+6)$ ?

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Answer 1 · 2015-06-01T22:31:03

Subtract $t+24$ from both sides to get:

$0 = t(t+6)-(t+24)$

$=t^2+6t-t-24$

$=t^2+5t-24$

$=(t+8)(t-3)$

So $t=-8$ or $t=3$ .

To find this factorization, I looked for a factorization of $24$ into a pair of factors whose difference is $5$ .

How do you factor and solve t+24=t(t+6)t+24=t(t+6)?