Question

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

Answer 1

T+24=t^2+6

t-t^2=6-24

-t=-18

t=18

Answer 2

The correct answer is "x = -8" and "x = 3".

Step-by-step explanation:

$The \ given \ expression \ is:\\t+24=t(t+6)\\On \ evaluating \ the \ above \ expression,we \ get\\t+24=t^2+6t\\On \ subtracting \ "t" \ from \ both \ sides,we \ get\\t+24-t=t^2+6t-t\\24=t^2+6t-t\\t^2+5t-24=0\\t^2+8t-3t-24=0\\t(t+8)-3(t+8)=0\\(t-3)(t+8)=0\\t-3=0\\t=3\\Or,\\t+8=0\\t=-8$

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