Solve the quadratic by factoring.x, squared, minus, 18, x, minus, 16, equals, minus, 9, x, minus, 6x 2 −18x−16=−9x−6AnswerAttempt 1 out of 2Additional SolutionNo Solution

The given equation is x^2 - 18x - 16 = -9x - 6.

First, let's simplify the equation by bringing all terms to one side.

x^2 - 18x + 9x + 16 + 6 = 0

This simplifies to:

x^2 - 9x + 22 = 0

Now, we can factor the quadratic equation.

Unfortunately, this equation does not factor nicely with integer values. Therefore, we will have to use the quadratic formula to solve for x.

The quadratic formula is x = [-b ± sqrt(b^2 - 4ac)] / 2a

In this equation, a = 1, b = -9, and c = 22.

Substituting these values into the quadratic formula gives:

x = [9 ± sqrt((-9)^2 - 4122)] / 2*1 x = [9 ± sqrt(81 - 88)] / 2 x = [9 ± sqrt(-7)] / 2

Since the square root of a negative number is not a real number, there are no real solutions to this equation.