What is the answer to 3x^2-1= 1/(5(1-x)) ?

The answer to 3x^2-1= 1/(5(1-x)) is x\approx-0.61211…

Solve for x: 3x^2-1= 1/(5(1-x))

The solution is x\approx-0.61211…

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3 x^{2} - 1 = \frac{1}{5 ( 1 - x )}

x \approx - 0.61211 \dots

Solution steps

3 x^{2} - 1 = \frac{1}{5 ( 1 - x )}

Multiply both sides by

5 (1 - x)

15 x^{2} (1 - x) - 5 (1 - x) = 1

Solve

15 x^{2} (1 - x) - 5 (1 - x) = 1 : x \approx - 0.61211 \dots

x \approx - 0.61211 \dots

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x \approx - 0.61211 \dots

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

z, w = - \frac{z}{( z + 2 )} \frac{1}{2} (z - 12)

0.25 = \frac{117}{( 58.5 \cdot x )}

x^{- 2} - 4 = 0

\frac{1}{2 \cdot x ( x + 7 )} = 165

What is the answer to 3x^2-1= 1/(5(1-x)) ?
The answer to 3x^2-1= 1/(5(1-x)) is x\approx-0.61211…
Solve for x: 3x^2-1= 1/(5(1-x))
The solution is x\approx-0.61211…