What is the answer to x/(2+4(x+2))=14-2x+20 ?

The answer to x/(2+4(x+2))=14-2x+20 is x=-(-115+sqrt(24105))/(16),x=(115+sqrt(24105))/(16)

Solve for x: x/(2+4(x+2))=14-2x+20

The solution is x=-(-115+sqrt(24105))/(16),x=(115+sqrt(24105))/(16)

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\frac{x}{2 + 4 ( x + 2 )} = 14 - 2 x + 20

x = - \frac{- 115 + 24105}{16}, x = \frac{115 + 24105}{16}

Decimal Notation

x = - 2.51611 \dots, x = 16.89111 \dots

Solution steps

\frac{x}{2 + 4 ( x + 2 )} = 14 - 2 x + 20

Simplify

\frac{x}{2 + 4 ( x + 2 )} : \frac{x}{4 x + 10}

\frac{x}{4 x + 10} = 14 - 2 x + 20

Multiply both sides by

4 x + 10

x = 14 (4 x + 10) - 2 x (4 x + 10) + 20 (4 x + 10)

Simplify

14 (4 x + 10) - 2 x (4 x + 10) + 20 (4 x + 10) : 34 (4 x + 10) - 2 x (4 x + 10)

x = 34 (4 x + 10) - 2 x (4 x + 10)

Solve

x = 34 (4 x + 10) - 2 x (4 x + 10) : x = - \frac{- 115 + 24105}{16}, x = \frac{115 + 24105}{16}

x = - \frac{- 115 + 24105}{16}, x = \frac{115 + 24105}{16}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{2}

Combine undefined points with solutions:

x = - \frac{- 115 + 24105}{16}, x = \frac{115 + 24105}{16}

1.914 = \frac{c \cdot 5}{c + 5}

B (y) = c y^{- 6}

B (y) = c y^{- 4}

\frac{5 x}{x} = \frac{x}{130}

x^{2} - \frac{2}{x} = 0

What is the answer to x/(2+4(x+2))=14-2x+20 ?
The answer to x/(2+4(x+2))=14-2x+20 is x=-(-115+sqrt(24105))/(16),x=(115+sqrt(24105))/(16)
Solve for x: x/(2+4(x+2))=14-2x+20
The solution is x=-(-115+sqrt(24105))/(16),x=(115+sqrt(24105))/(16)