What is the answer to 1/(2x+13-1.5x)=3x+6-9 ?

The answer to 1/(2x+13-1.5x)=3x+6-9 is x=(-37.5+sqrt(1646.25))/3 ,x=(-37.5-sqrt(1646.25))/3

Solve for x: 1/(2x+13-1.5x)=3x+6-9

The solution is x=(-37.5+sqrt(1646.25))/3 ,x=(-37.5-sqrt(1646.25))/3

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\frac{1}{2 x + 13 - 1.5 x} = 3 x + 6 - 9

x = \frac{- 37.5 + 1646.25}{3}, x = \frac{- 37.5 - 1646.25}{3}

Decimal Notation

x = 1.02466 \dots, x = - 26.02466 \dots

Solution steps

\frac{1}{2 x + 13 - 1.5 x} = 3 x + 6 - 9

Simplify

\frac{1}{2 x + 13 - 1.5 x} : \frac{1}{0.5 x + 13}

\frac{1}{0.5 x + 13} = 3 x + 6 - 9

Multiply both sides by

0.5 x + 13

1 = 3 x (0.5 x + 13) + 6 (0.5 x + 13) - 9 (0.5 x + 13)

Simplify

3 x (0.5 x + 13) + 6 (0.5 x + 13) - 9 (0.5 x + 13) : 3 x (0.5 x + 13) - 3 (0.5 x + 13)

1 = 3 x (0.5 x + 13) - 3 (0.5 x + 13)

Solve

1 = 3 x (0.5 x + 13) - 3 (0.5 x + 13) : x = \frac{- 37.5 + 1646.25}{3}, x = \frac{- 37.5 - 1646.25}{3}

x = \frac{- 37.5 + 1646.25}{3}, x = \frac{- 37.5 - 1646.25}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 26

Combine undefined points with solutions:

x = \frac{- 37.5 + 1646.25}{3}, x = \frac{- 37.5 - 1646.25}{3}

21 x - \frac{4}{x} = 8

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

- \frac{2}{c ^{3}} + \frac{3}{4} = 0

x + 24 = - \frac{144}{x}

a + \frac{- 10}{a} = - 3

What is the answer to 1/(2x+13-1.5x)=3x+6-9 ?
The answer to 1/(2x+13-1.5x)=3x+6-9 is x=(-37.5+sqrt(1646.25))/3 ,x=(-37.5-sqrt(1646.25))/3
Solve for x: 1/(2x+13-1.5x)=3x+6-9
The solution is x=(-37.5+sqrt(1646.25))/3 ,x=(-37.5-sqrt(1646.25))/3