What is the answer to 1/(2(10d-8))=3(12) ?

The answer to 1/(2(10d-8))=3(12) is d= 577/720

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1/(2(10d-8))=3(12)

\frac{1}{2 ( 10 d - 8 )} = 3 (12)

d = \frac{577}{720}

Decimal Notation

d = 0.80138 \dots

Solution steps

\frac{1}{2 ( 10 d - 8 )} = 3 (12)

Multiply both sides by

2 (10 d - 8)

1 = 72 (10 d - 8)

Switch sides

72 (10 d - 8) = 1

Divide both sides by

72

10 d - 8 = \frac{1}{72}

Move

8

to the right side

10 d = \frac{577}{72}

Divide both sides by

10

d = \frac{577}{720}

Verify Solutions

Find undefined (singularity) points:

d = \frac{4}{5}

Combine undefined points with solutions:

d = \frac{577}{720}

l (x) = \frac{2 x - 5}{5 + x}

\frac{0.4}{x - 1} = \frac{10}{4.5}

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

\frac{21 x ^{2} + 1}{x - 2} = 0

- \frac{42}{q + 9} = \frac{4}{2 q + 6}

What is the answer to 1/(2(10d-8))=3(12) ?
The answer to 1/(2(10d-8))=3(12) is d= 577/720
Solve for d: 1/(2(10d-8))=3(12)
The solution is d= 577/720