Solve for all values of x by factoring. x^2 −15x+7= −6x−1

Answer 1

To solve this equation by factoring, we first need to set the equation equal to zero by moving all terms to one side:

x^2 - 15x + 7 + 6x + 1 = 0

Combining like terms:

x^2 - 9x + 8 = 0

Now, we need to factor the quadratic equation:

(x - 8)(x - 1) = 0

Setting each factor to zero:

x - 8 = 0 or x - 1 = 0

Solving for x in each case:

x = 8 or x = 1

Therefore, the values of x that satisfy the equation are x = 8 or x = 1.