Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6) Plz help I will mark brainliest

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(a*(x-3)*(x+5))=0

STEP
1
:
Equation at the end of step 1

y - (a • (x - 3) • (x + 5)) = 0
STEP
2
:
Equation at the end of step 2

y - a • (x - 3) • (x + 5) = 0
STEP
3
:
Equation at the end of step 3

y - ax2 - 2ax + 15a = 0
STEP
4
:

Solving a Single Variable Equation:

4.1 Solve y-ax2-2ax+15a = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.