Question

Solve the quadratic equation by factoring x2-24x=-144

Answer 1

Answer:

x=12

Step-by-step explanation:

Firstly we need to set the equation equal to zero

$x^2-24x=-144\\\\x^2-24x+144=0$

Now we can begin to factor. We are looking for two numbers that add together to give us -24 and multiply to give you 144. x=-12 and x=-12 satisfy this.

This means that the factored form is

$(x-12)(x-12)=0\\\\(x-12)^2=0$

Next we can solve this equation for x.

$(x-12)^2=0\\\\x-12=0\\\\x=12$