Expanding the left side of the equation:
(4x + 1)(2x - 3) - 8^2= 8x^2 - 12x + 2x - 3 - 64= 8x^2 - 10x - 67
Now we set the equation equal to the right side:
8x^2 - 10x - 67 = 17 - 5x
Rearranging the terms:
8x^2 + 5x - 84 = 0
Now we have a quadratic equation that can be solved using factoring, completing the square, or the quadratic formula.
Expanding the left side of the equation:
(4x + 1)(2x - 3) - 8^2
= 8x^2 - 12x + 2x - 3 - 64
= 8x^2 - 10x - 67
Now we set the equation equal to the right side:
8x^2 - 10x - 67 = 17 - 5x
Rearranging the terms:
8x^2 + 5x - 84 = 0
Now we have a quadratic equation that can be solved using factoring, completing the square, or the quadratic formula.