k=(5a+3)(3a-2)

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

Simplifying
k = (5a + 3)(3a + -2)

Reorder the terms:
k = (3 + 5a)(3a + -2)

Reorder the terms:
k = (3 + 5a)(-2 + 3a)

Multiply (3 + 5a) * (-2 + 3a)
k = (3(-2 + 3a) + 5a * (-2 + 3a))
k = ((-2 * 3 + 3a * 3) + 5a * (-2 + 3a))
k = ((-6 + 9a) + 5a * (-2 + 3a))
k = (-6 + 9a + (-2 * 5a + 3a * 5a))
k = (-6 + 9a + (-10a + 15a2))

Combine like terms: 9a + -10a = -1a
k = (-6 + -1a + 15a2)

Solving
k = -6 + -1a + 15a2

Solving for variable 'k'.

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

Simplifying
k = -6 + -1a + 15a2