r=(2n-3)(3n+5)

Solution for r=(2n-3)(3n+5) equation:

Simplifying
r = (2n + -3)(3n + 5)

Reorder the terms:
r = (-3 + 2n)(3n + 5)

Reorder the terms:
r = (-3 + 2n)(5 + 3n)

Multiply (-3 + 2n) * (5 + 3n)
r = (-3(5 + 3n) + 2n * (5 + 3n))
r = ((5 * -3 + 3n * -3) + 2n * (5 + 3n))
r = ((-15 + -9n) + 2n * (5 + 3n))
r = (-15 + -9n + (5 * 2n + 3n * 2n))
r = (-15 + -9n + (10n + 6n2))

Combine like terms: -9n + 10n = 1n
r = (-15 + 1n + 6n2)

Solving
r = -15 + 1n + 6n2

Solving for variable 'r'.

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

Simplifying
r = -15 + 1n + 6n2