Answer:
x=-2 and 4
Step-by-step explanation:
First of all, this is not a linear equation, but a quadratic equation which has two answers (or otherwise known as roots, solutions, or zeroes)
We can start by subtracting the 8 on both sides
x^2-2x-8=0
We can factor this, so we take two factors that multiply to -8 and two factors that add to -2
(x-4)(x+2)
Set those equal to zero x-4=0 and x+2=0
So x=-2 and 4
Answer:
Work shown below!
Step-by-step explanation:
[tex]x^{2} -2x=8[/tex]
Subtract 8 from both sides;
[tex]x^{2} -2x-8=0\\(x+2)(x-4)=0[/tex]
x + 2 = 0
Subtract 2 from both sides;
x = -2
x - 4 = 0
Add 4 to both sides;
x = 4
