Answer
$a = 2$
$b = 3$
$c=-152$
Work Step by Step
A quadratic equation can be written in this form:
$ax^2 + bx+c = 0$
where $a,b,$ and $c$ are real numbers and $a \neq 0$
We can use the quadratic formula to find the solutions of the equation:
$x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$
We can determine the values of $a, b,$ and $c$:
$(x+5)(2x-7) = 117$
$2x^2+3x-35 = 117$
$2x^2+3x-152 = 0$
$a = 2$
$b = 3$
$c=-152$
