Question

Solve for all values of x by factoring (please help 3) x^2+6x-4=6x

Answer 1

Answer:

-2, 2

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Step-by-step explanation:

x^2 + 6x - 4 = 6x

x2 + 6x - 4 - 6x = 0

x^2 - 4 = 0

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

x + 2 = 0

x= -2

x -2 = 0

x = 2

Answer 2

Step 1: Set the equation equal to 0.
Do this by subtracting 6x from both sides and you get:
x^2 - 4 = 0

Step 2: Factor
This is a difference of two square. In general a^2 - b^2 factors as (a+b)(a-b).
In your equation:
(x+2)(x-2) = 0

Step 3: Break this apart into two separate equations.
If two factors multiply to make 0, one of them has to be zero. So set each one individually equal to 0.

x+2 = 0 OR x-2=0

Step 4: Solve each equation individually.
x+2 = 0
x = -2

x-2 = 0
x = 2


Step 5:
Check both solutions to make sure they’re correct.