Solve for all values of x by factoring
X^2-6x=-6x+4
To solve the equation by factoring, we need to rewrite both sides of the equation in factored form.
Starting with the left side:
x^2 - 6x
We notice that there is a common factor of x:
x(x - 6)
Now, let's focus on the right side:
-6x + 4
We can rewrite this as:
4 - 6x
Now, we can set the factored expressions equal to each other and solve for x:
x(x - 6) = 4 - 6x
Expanding the left side:
x^2 - 6x = 4 - 6x
Adding 6x to both sides:
x^2 = 4
Taking the square root of both sides:
x = ±2
Therefore, the equation has two solutions, x = 2 and x = -2.