What is the answer to ((a+7)!)/((a+6)!)=15! ?

The answer to ((a+7)!)/((a+6)!)=15! is a=1307674367993

Solve for a: ((a+7)!)/((a+6)!)=15!

The solution is a=1307674367993

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\frac{( a + 7 ) !}{( a + 6 ) !} = 15!

a = 1307674367993

Solution steps

\frac{( a + 7 ) !}{( a + 6 ) !} = 15!

Simplify

\frac{( a + 7 ) !}{( a + 6 ) !} : a + 7

a + 7 = 15!

Apply factorial rule:

n! = 1 \cdot 2 \cdot 3 \cdot \dots \cdot n

15! = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15

a + 7 = 1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15

Multiply the numbers:

1 \cdot 2 \cdot 3 \cdot 4 \cdot 5 \cdot 6 \cdot 7 \cdot 8 \cdot 9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15 = 1307674368000

a + 7 = 1307674368000

Move

7

to the right side

a = 1307674367993

\frac{3}{1} = \frac{2}{h}

5 x^{- 2} - 17 x^{- 1} + 6 = 0

\frac{23}{x + 10} = \frac{1}{4}

\frac{3}{4 x} + \frac{1}{4} = 1

\frac{2 + x}{x - 1} = 8

What is the answer to ((a+7)!)/((a+6)!)=15! ?
The answer to ((a+7)!)/((a+6)!)=15! is a=1307674367993
Solve for a: ((a+7)!)/((a+6)!)=15!
The solution is a=1307674367993