To solve this equation, we first need to simplify both sides by distributing.
Left Side:(7x - 1)(2 + x)= 14x + 7x^2 - 2 - x
Right Side:(x - 4)(x + 4)= x^2 + 4x - 4x - 16= x^2 - 16
Now, set the left side equal to the right side:14x + 7x^2 - 2 - x = x^2 - 16
Next, combine like terms and bring all terms to one side of the equation:7x^2 + 14x - x^2 - x + 16 - 2 = 06x^2 + 13x + 14 = 0
Now, we have a quadratic equation that can be further simplified or solved using the quadratic formula.
To solve this equation, we first need to simplify both sides by distributing.
Left Side:
(7x - 1)(2 + x)
= 14x + 7x^2 - 2 - x
Right Side:
(x - 4)(x + 4)
= x^2 + 4x - 4x - 16
= x^2 - 16
Now, set the left side equal to the right side:
14x + 7x^2 - 2 - x = x^2 - 16
Next, combine like terms and bring all terms to one side of the equation:
7x^2 + 14x - x^2 - x + 16 - 2 = 0
6x^2 + 13x + 14 = 0
Now, we have a quadratic equation that can be further simplified or solved using the quadratic formula.