-3=a(0-2)(0-5)(0+3i)(0-3i)

Solution for -3=a(0-2)(0-5)(0+3i)(0-3i) equation:

Simplifying
-3 = a(0 + -2)(0 + -5)(0 + 3i)(0 + -3i)

Combine like terms: 0 + -2 = -2
-3 = a(-2)(0 + -5)(0 + 3i)(0 + -3i)

Combine like terms: 0 + -5 = -5
-3 = a * -2(-5)(0 + 3i)(0 + -3i)
Remove the zero:
-3 = a * -2 * -5(3i)(0 + -3i)

Remove parenthesis around (3i)
-3 = a * -2 * -5 * 3i(0 + -3i)
Remove the zero:
-3 = a * -2 * -5 * 3i(-3i)

Remove parenthesis around (-3i)
-3 = a * -2 * -5 * 3i * -3i

Reorder the terms for easier multiplication:
-3 = -2 * -5 * 3 * -3a * i * i

Multiply -2 * -5
-3 = 10 * 3 * -3a * i * i

Multiply 10 * 3
-3 = 30 * -3a * i * i

Multiply 30 * -3
-3 = -90a * i * i

Multiply a * i
-3 = -90ai * i

Multiply ai * i
-3 = -90ai2

Solving
-3 = -90ai2

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '90ai2' to each side of the equation.
-3 + 90ai2 = -90ai2 + 90ai2

Combine like terms: -90ai2 + 90ai2 = 0
-3 + 90ai2 = 0

Add '3' to each side of the equation.
-3 + 3 + 90ai2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 90ai2 = 0 + 3
90ai2 = 0 + 3

Combine like terms: 0 + 3 = 3
90ai2 = 3

Divide each side by '90i2'.
a = 0.03333333333i-2

Simplifying
a = 0.03333333333i-2