How do you multiply $(x-2)(x+6)=5x$ ?

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Answer 1 · 2016-08-28T02:30:10

${4, -3}$ is the solution set.

Start by multiplying out:

$=>x^2 - 2x + 6x - 12 = 5x$

Start simplifying:

$=>x^2 + 4x - 12 = 5x$

$=>x^2 - x - 12 = 0$

Solve by factoring:

$=>(x - 4)(x + 3) = 0$

$=>x = 4 and -3$

If you check in the original equation, you will find that both values of $x$ work. Hence, our solution set is ${4, -3}$ .

Hopefully this helps!

How do you multiply (x-2)(x+6)=5x(x-2)(x+6)=5x?