What are the solutions of x^2+6x-6= 10x2+6x6=10?

1 Answer
Mar 8, 2018

x=2 or x=-8x=2orx=8

Explanation:

x^2 +6x - 6 =10x2+6x6=10

Start by subtracting 1010 from both sides

x^2 + 6x - 6 - 10 = 10 - 10x2+6x610=1010

x^2 + 6x - 16 =0x2+6x16=0

Then factorize the left side

(x-2)(x+8)=0(x2)(x+8)=0

Set factors equal to 00

x-2=0 or x+8=0x2=0orx+8=0

x=0+2 or x=0-8x=0+2orx=08

x=2 or x=-8x=2orx=8