What is the answer to (4x)/(3-6x)=1-x ?

The answer to (4x)/(3-6x)=1-x is x=(13+sqrt(97))/(12),x=(13-sqrt(97))/(12)

Solve for x: (4x)/(3-6x)=1-x

The solution is x=(13+sqrt(97))/(12),x=(13-sqrt(97))/(12)

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\frac{4 x}{3 - 6 x} = 1 - x

x = \frac{13 + 97}{12}, x = \frac{13 - 97}{12}

Decimal Notation

x = 1.90407 \dots, x = 0.26259 \dots

Solution steps

\frac{4 x}{3 - 6 x} = 1 - x

Multiply both sides by

3 - 6 x

4 x = 3 - 6 x - x (3 - 6 x)

Solve

4 x = 3 - 6 x - x (3 - 6 x) : x = \frac{13 + 97}{12}, x = \frac{13 - 97}{12}

x = \frac{13 + 97}{12}, x = \frac{13 - 97}{12}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{13 + 97}{12}, x = \frac{13 - 97}{12}

10.5 = \frac{2500}{v}

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

\frac{4}{x} = \frac{6}{7}

\frac{3}{x - 2} = - 11

\frac{12}{7 - y} + \frac{1}{y} = 3

What is the answer to (4x)/(3-6x)=1-x ?
The answer to (4x)/(3-6x)=1-x is x=(13+sqrt(97))/(12),x=(13-sqrt(97))/(12)
Solve for x: (4x)/(3-6x)=1-x
The solution is x=(13+sqrt(97))/(12),x=(13-sqrt(97))/(12)