Factoring

[Dakota120x]

I feel so stupid as I keep asking questions but I looked online and stuff and I still don't get this. This is from my Algebra II summer packet (my alegbra I teacher was sick and absent a lot so I wasn't taught much of this). Thank you all for your help.

Solve by factoring for x: x+12=x^2

 

[soroban]

Hello, Dakota120x!

Solve by factoring: . x + 12 = x²
.

I'll assume you know <u>nothing</u> about solving a quadratic equation.

(1) Get all terms on one side. . (Make the x² term positive.)

. . . We have: . x² - x - 12 .= .0


(2) Factor the quadratic.

. . . We have: . (x - 4)(x + 3) .= .0


(3) Set each factor equal to 0 and solve the two equations.

. . . We have: . x - 4 = 0 . ---> . x = 4

. . . . . . . and: . x + 3 = 0 . ---> . x = -3


Answers: .x = 4, -3

 

[Dakota120x]

oo my gosh! I understand it! And yess I don't know a thing about this. Thanks you so much for explaining it all!