(A-6)(3a-7)=0

Solution for (A-6)(3a-7)=0 equation:

Simplifying
(A + -6)(3a + -7) = 0

Reorder the terms:
(-6 + A)(3a + -7) = 0

Reorder the terms:
(-6 + A)(-7 + 3a) = 0

Multiply (-6 + A) * (-7 + 3a)
(-6(-7 + 3a) + A(-7 + 3a)) = 0
((-7 * -6 + 3a * -6) + A(-7 + 3a)) = 0
((42 + -18a) + A(-7 + 3a)) = 0
(42 + -18a + (-7 * A + 3a * A)) = 0
(42 + -18a + (-7A + 3aA)) = 0

Reorder the terms:
(42 + -7A + -18a + 3aA) = 0
(42 + -7A + -18a + 3aA) = 0

Solving
42 + -7A + -18a + 3aA = 0

Solving for variable 'A'.

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

Add '-42' to each side of the equation.
42 + -7A + -18a + -42 + 3aA = 0 + -42

Reorder the terms:
42 + -42 + -7A + -18a + 3aA = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7A + -18a + 3aA = 0 + -42
-7A + -18a + 3aA = 0 + -42

Combine like terms: 0 + -42 = -42
-7A + -18a + 3aA = -42

Add '18a' to each side of the equation.
-7A + -18a + 18a + 3aA = -42 + 18a

Combine like terms: -18a + 18a = 0
-7A + 0 + 3aA = -42 + 18a
-7A + 3aA = -42 + 18a

Reorder the terms:
42 + -7A + -18a + 3aA = -42 + 18a + 42 + -18a

Reorder the terms:
42 + -7A + -18a + 3aA = -42 + 42 + 18a + -18a

Combine like terms: -42 + 42 = 0
42 + -7A + -18a + 3aA = 0 + 18a + -18a
42 + -7A + -18a + 3aA = 18a + -18a

Combine like terms: 18a + -18a = 0
42 + -7A + -18a + 3aA = 0

The solution to this equation could not be determined.