What is the answer to solvefor a,(a+5)(a+b)=a^2+2a+c ?

The answer to solvefor a,(a+5)(a+b)=a^2+2a+c is a=(c-5b)/(b+3);\quad b\ne-3

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solvefor a,(a+5)(a+b)=a^2+2a+c

solve for

a, (a + 5) (a + b) = a^{2} + 2 a + c

a = \frac{c - 5 b}{b + 3}; b \neq = - 3

Solution steps

(a + 5) (a + b) = a^{2} + 2 a + c

Expand

(a + 5) (a + b) : a^{2} + ab + 5 a + 5 b

a^{2} + ab + 5 a + 5 b = a^{2} + 2 a + c

Move

5 b

to the right side

a^{2} + ab + 5 a = a^{2} + 2 a + c - 5 b

Subtract

a^{2} + 2 a

from both sides

a^{2} + ab + 5 a - (a^{2} + 2 a) = a^{2} + 2 a + c - 5 b - (a^{2} + 2 a)

Simplify

ab + 3 a = c - 5 b

Factor

ab + 3 a : a (b + 3)

a (b + 3) = c - 5 b

Divide both sides by

b + 3; b \neq = - 3

a = \frac{c - 5 b}{b + 3}; b \neq = - 3

x, 2 x - 3 y - 14 = 0

2 x - 2 = 7 x + 8

w, 48 = lw h

4 x + 5 x = 27

b, a = \frac{a + b + c}{3}

What is the answer to solvefor a,(a+5)(a+b)=a^2+2a+c ?
The answer to solvefor a,(a+5)(a+b)=a^2+2a+c is a=(c-5b)/(b+3);\quad b\ne-3