Solve for all values of xx by factoring.x, squared, plus, 6, x, minus, 100, equals, 6, xx 2 +6x−100=6x

Sure, let's solve the equation step by step:

The given equation is x^2 + 6x - 100 = 6x.

Step 1: Simplify the equation by subtracting 6x from both sides to get:

x^2 + 6x - 6x - 100 = 6x - 6x,

which simplifies to:

x^2 - 100 = 0.

Step 2: Factor the equation. The equation x^2 - 100 = 0 is a difference of squares, which can be factored as:

(x - 10)(x + 10) = 0.

Step 3: Set each factor equal to zero and solve for x:

x - 10 = 0 => x = 10,

x + 10 = 0 => x = -10.

So, the solutions to the equation x^2 + 6x - 100 = 6x are x = 10 and x = -10.