Answer: (-9,4)
Step-by-step explanation: First, we set the equation equal to zero by subtracting 36 from both sides to get x² + 5x - 36 = 0.
Next, we factor the left side of the equation
as the product of two binomials.
Since the factors of -36 that add to +5 are +9 and -4,
we have (x + 9)(x - 4) = 0.
This means that either x + 9 = 0 or x - 4 = 0.
Solving each equation from here,
we have x = -9 or x = +4.
So your solution set is (-9,4).
