Question

Solve by factoring. Be sure to look for a GCF first in case there is one-2x²-4x+70=0

Answer 1

x = 5 and x = -7

Step-by-step explanation

We want to solve the equation by factoring.

The equation is:

`-2x^2\text{ - 4x + 70 = 0}`

First, there is a greatest common factor that we can use to simplify the equation. That is -2, so, first we divide through by -2.

It becomes:

`x^2\text{ + 2x - 35 = 0}`

Now, factorise:

`\begin{gathered} x^2\text{ + 2x - 35 = 0} \\ x^2\text{ + 7x - 5x - 35 = 0} \\ x(x\text{ + 7) - 5(x + 7) = 0} \\ (x\text{ - 5)(x + 7) = 0} \\ x\text{ = 5 and x = -7} \end{gathered}`