(b+5)(a-3)=15

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Solution for (b+5)(a-3)=15 equation:


Simplifying
(b + 5)(a + -3) = 15

Reorder the terms:
(5 + b)(a + -3) = 15

Reorder the terms:
(5 + b)(-3 + a) = 15

Multiply (5 + b) * (-3 + a)
(5(-3 + a) + b(-3 + a)) = 15
((-3 * 5 + a * 5) + b(-3 + a)) = 15
((-15 + 5a) + b(-3 + a)) = 15
(-15 + 5a + (-3 * b + a * b)) = 15

Reorder the terms:
(-15 + 5a + (ab + -3b)) = 15
(-15 + 5a + (ab + -3b)) = 15
(-15 + 5a + ab + -3b) = 15

Solving
-15 + 5a + ab + -3b = 15

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 5a + ab + 15 + -3b = 15 + 15

Reorder the terms:
-15 + 15 + 5a + ab + -3b = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 5a + ab + -3b = 15 + 15
5a + ab + -3b = 15 + 15

Combine like terms: 15 + 15 = 30
5a + ab + -3b = 30

Add '3b' to each side of the equation.
5a + ab + -3b + 3b = 30 + 3b

Combine like terms: -3b + 3b = 0
5a + ab + 0 = 30 + 3b
5a + ab = 30 + 3b

Reorder the terms:
-30 + 5a + ab + -3b = 30 + 3b + -30 + -3b

Reorder the terms:
-30 + 5a + ab + -3b = 30 + -30 + 3b + -3b

Combine like terms: 30 + -30 = 0
-30 + 5a + ab + -3b = 0 + 3b + -3b
-30 + 5a + ab + -3b = 3b + -3b

Combine like terms: 3b + -3b = 0
-30 + 5a + ab + -3b = 0

The solution to this equation could not be determined.

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