What is the answer to 0.562= a/((a+42)) ?

The answer to 0.562= a/((a+42)) is a= 3934/73

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0.562= a/((a+42))

0.562 = \frac{a}{( a + 42 )}

a = \frac{3934}{73}

Decimal Notation

a = 53.89041 \dots

Solution steps

0.562 = \frac{a}{( a + 42 )}

Simplify

\frac{a}{( a + 42 )} : \frac{a}{a + 42}

0.562 = \frac{a}{a + 42}

Multiply both sides by

a + 42

0.562 (a + 42) = a

Multiply both sides by

1000

562 (a + 42) = a \cdot 1000

Expand

562 (a + 42) : 562 a + 23604

562 a + 23604 = a \cdot 1000

Move

23604

to the right side

562 a = a \cdot 1000 - 23604

Move

a 1000

to the left side

- 438 a = - 23604

Divide both sides by

- 438

a = \frac{3934}{73}

Verify Solutions

Find undefined (singularity) points:

a = - 42

Combine undefined points with solutions:

a = \frac{3934}{73}

\frac{lo g _{10} ( 1 )}{2 x} = 4 x^{2}

[\frac{x + 1}{x}]^{2} = \frac{4 + 3}{2 \cdot [ x - \frac{1}{x} ]}

\frac{61}{2} = \frac{11}{2 + n}

\frac{4 x}{x + 1} = \frac{10}{3}

\frac{( 11 ( 2 + x ) - 5 ( x + 1 ) )}{( 3 - 7 x )} = 2

What is the answer to 0.562= a/((a+42)) ?
The answer to 0.562= a/((a+42)) is a= 3934/73
Solve for a: 0.562= a/((a+42))
The solution is a= 3934/73