(A-4)(a+7)=-18

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Solution for (A-4)(a+7)=-18 equation:


Simplifying
(A + -4)(a + 7) = -18

Reorder the terms:
(-4 + A)(a + 7) = -18

Reorder the terms:
(-4 + A)(7 + a) = -18

Multiply (-4 + A) * (7 + a)
(-4(7 + a) + A(7 + a)) = -18
((7 * -4 + a * -4) + A(7 + a)) = -18
((-28 + -4a) + A(7 + a)) = -18
(-28 + -4a + (7 * A + a * A)) = -18
(-28 + -4a + (7A + aA)) = -18

Reorder the terms:
(-28 + 7A + -4a + aA) = -18
(-28 + 7A + -4a + aA) = -18

Solving
-28 + 7A + -4a + aA = -18

Solving for variable 'A'.

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

Add '28' to each side of the equation.
-28 + 7A + -4a + 28 + aA = -18 + 28

Reorder the terms:
-28 + 28 + 7A + -4a + aA = -18 + 28

Combine like terms: -28 + 28 = 0
0 + 7A + -4a + aA = -18 + 28
7A + -4a + aA = -18 + 28

Combine like terms: -18 + 28 = 10
7A + -4a + aA = 10

Add '4a' to each side of the equation.
7A + -4a + 4a + aA = 10 + 4a

Combine like terms: -4a + 4a = 0
7A + 0 + aA = 10 + 4a
7A + aA = 10 + 4a

Reorder the terms:
-10 + 7A + -4a + aA = 10 + 4a + -10 + -4a

Reorder the terms:
-10 + 7A + -4a + aA = 10 + -10 + 4a + -4a

Combine like terms: 10 + -10 = 0
-10 + 7A + -4a + aA = 0 + 4a + -4a
-10 + 7A + -4a + aA = 4a + -4a

Combine like terms: 4a + -4a = 0
-10 + 7A + -4a + aA = 0

The solution to this equation could not be determined.

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