What is the answer to 2(2t+4)= 3/(4(24-8t)) ?

The answer to 2(2t+4)= 3/(4(24-8t)) is t=-(-8+sqrt(1594))/(16),t=(8+sqrt(1594))/(16)

Solve for t: 2(2t+4)= 3/(4(24-8t))

The solution is t=-(-8+sqrt(1594))/(16),t=(8+sqrt(1594))/(16)

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2 (2 t + 4) = \frac{3}{4 ( 24 - 8 t )}

t = - \frac{- 8 + 1594}{16}, t = \frac{8 + 1594}{16}

Decimal Notation

t = - 1.99530 \dots, t = 2.99530 \dots

Solution steps

2 (2 t + 4) = \frac{3}{4 ( 24 - 8 t )}

Multiply both sides by

4 (24 - 8 t)

8 (2 t + 4) (24 - 8 t) = 3

Solve

8 (2 t + 4) (24 - 8 t) = 3 : t = - \frac{- 8 + 1594}{16}, t = \frac{8 + 1594}{16}

t = - \frac{- 8 + 1594}{16}, t = \frac{8 + 1594}{16}

Verify Solutions

Find undefined (singularity) points:

t = 3

Combine undefined points with solutions:

t = - \frac{- 8 + 1594}{16}, t = \frac{8 + 1594}{16}

\frac{2}{x} - 4 = x

\frac{3}{x + 2} = \frac{5}{x + 4}

\frac{3 x}{x - 2} = \frac{6}{x - 2} + 1

\frac{4}{x} + \frac{x + 2}{3} = 3

\frac{2}{x + 1} = \frac{3}{x}

What is the answer to 2(2t+4)= 3/(4(24-8t)) ?
The answer to 2(2t+4)= 3/(4(24-8t)) is t=-(-8+sqrt(1594))/(16),t=(8+sqrt(1594))/(16)
Solve for t: 2(2t+4)= 3/(4(24-8t))
The solution is t=-(-8+sqrt(1594))/(16),t=(8+sqrt(1594))/(16)