Solve the quadratic by factoring.x, squared, minus, 18, x, minus, 16, equals, minus, 9, x, minus, 6x 2 −18x−16=−9x−6

First, let's simplify the equation by combining like terms:

x^2 - 18x - 16 = -9x - 6

This simplifies to:

x^2 - 9x - 10 = 0

Next, we factor the quadratic equation. We're looking for two numbers that multiply to -10 and add to -9. Those numbers are -10 and 1. So, we can write the equation as:

(x - 10)(x + 1) = 0

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

x - 10 = 0 => x = 10

x + 1 = 0 => x = -1

So, the solutions to the equation x^2 - 18x - 16 = -9x - 6 are x = 10 and x = -1.