Solve for all values of xx by factoring.x, squared, minus, 87, equals, minus, 6x 2 −87=−6

The equation you provided is x^2 - 87 = -6x.

First, let's rearrange the equation to make it easier to factor. We can do this by adding 6x to both sides of the equation:

x^2 + 6x - 87 = 0

Next, we need to factor the equation. We're looking for two numbers that multiply to -87 and add to 6. Those numbers are 9 and -9.7.

So, we can rewrite the equation as:

(x - 9)(x + 9.7) = 0

Setting each factor equal to zero gives us the solutions to the equation:

x - 9 = 0 => x = 9

x + 9.7 = 0 => x = -9.7

So, the solutions to the equation x^2 - 87 = -6x are x = 9 and x = -9.7.