studentkakraaLv1

31 Aug 2022

Answer in factored form (x-?)(x-?)

Can’t solve the x’s. What are the solutions

The example is in the other photo.

 

Use factoring to solve the equation  

Rewrite the equation in a completely factored form.

 

   ____ = 0

(Factor completely.)

 

The solutions to the equation are x=

(Simplify your answer. Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

 

The given equation is not written in a form with zero on one side.

To rewrite the equation with 0 on one side, subtract 60 from both sides.

 

  

Subtract

 

There is a greatest common factor (GCF) of 5 in the equation  .

Remove the GCF from each term in the equation.

 

 

 

 

Now, factor the trinomial 4 x^2+13 x-12. To do this, use the factors of as the first terms of two binomials and factors of -12 as the last terms of the binomials. The factorization whose inner and outer products combine to .

 

So, the equation, , can be written in factored form as 5(x+4)(4 x-3)=0. Remember that, 5 0. So, to solve further, simplify (x+4)(4 x-3)=0.

Next, to solve further, use the zero product property. For real numbers a and b, if the product a b=0, then either a=0 or b=0.

Because 5 0, apply the zero product property to (x+4)(4 x-3)=0.

 

(x+4)(4 x-3)=0 

x+4=0   or  4 x-3=0 

 

x = -4  or  x=-4, Solve the linear equations. 

 

The solutions to