What is the answer to a(a+8)+47=(a+7)(a+6) ?

The answer to a(a+8)+47=(a+7)(a+6) is a=1

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a(a+8)+47=(a+7)(a+6)

a (a + 8) + 47 = (a + 7) (a + 6)

a = 1

Solution steps

a (a + 8) + 47 = (a + 7) (a + 6)

Expand

a (a + 8) : a^{2} + 8 a

a^{2} + 8 a + 47 = (a + 7) (a + 6)

Expand

(a + 7) (a + 6) : a^{2} + 13 a + 42

a^{2} + 8 a + 47 = a^{2} + 13 a + 42

Move

47

to the right side

a^{2} + 8 a = a^{2} + 13 a - 5

Subtract

a^{2} + 13 a

from both sides

a^{2} + 8 a - (a^{2} + 13 a) = a^{2} + 13 a - 5 - (a^{2} + 13 a)

Simplify

- 5 a = - 5

Divide both sides by

- 5

a = 1

- 20 + m - 18 = - 8 m + 16

x, \frac{3}{4} x + \frac{1}{4} y = 5

x, 2.5 y = 5 x - 5

- 20 + 18 c = 6 c + 14 + 10 c

4 x - (2 x - 1) + x = 2 x - (2 + x) - x

What is the answer to a(a+8)+47=(a+7)(a+6) ?
The answer to a(a+8)+47=(a+7)(a+6) is a=1
Solve for a: a(a+8)+47=(a+7)(a+6)
The solution is a=1