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