What is the answer to 2/(3x+5x)=4-x ?

The answer to 2/(3x+5x)=4-x is x=(4-sqrt(15))/2 ,x=(4+sqrt(15))/2

Solve for x: 2/(3x+5x)=4-x

The solution is x=(4-sqrt(15))/2 ,x=(4+sqrt(15))/2

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

x = \frac{4 - 15}{2}, x = \frac{4 + 15}{2}

Decimal Notation

x = 0.06350 \dots, x = 3.93649 \dots

Solution steps

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

Simplify

\frac{2}{3 x + 5 x} : \frac{1}{4 x}

\frac{1}{4 x} = 4 - x

Multiply both sides by

x

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

Solve

\frac{1}{4} = 4 x - x^{2} : x = \frac{4 - 15}{2}, x = \frac{4 + 15}{2}

x = \frac{4 - 15}{2}, x = \frac{4 + 15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4 - 15}{2}, x = \frac{4 + 15}{2}

w, C d = \frac{12 d s}{w}

\frac{( 8 + x )}{( 14 + x )} = 0.8

x = \frac{- 8 x - 15}{x}

\frac{8 x}{28 x} = \frac{x}{2}

\frac{2 x - 1}{x + 3} = 0

What is the answer to 2/(3x+5x)=4-x ?
The answer to 2/(3x+5x)=4-x is x=(4-sqrt(15))/2 ,x=(4+sqrt(15))/2
Solve for x: 2/(3x+5x)=4-x
The solution is x=(4-sqrt(15))/2 ,x=(4+sqrt(15))/2