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

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

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

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

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

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

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

Solving
A = -6 + 1a + 15a2

Solving for variable 'A'.

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

Simplifying
A = -6 + 1a + 15a2