What is the answer to 3x^2-6x-4=-2/(x+3)+1 ?

The answer to 3x^2-6x-4=-2/(x+3)+1 is x\approx-0.54752…,x\approx 2.59610…,x\approx-3.04857…

Solve for x: 3x^2-6x-4=-2/(x+3)+1

The solution is x\approx-0.54752…,x\approx 2.59610…,x\approx-3.04857…

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3 x^{2} - 6 x - 4 = - \frac{2}{x + 3} + 1

x \approx - 0.54752 \dots, x \approx 2.59610 \dots, x \approx - 3.04857 \dots

Solution steps

3 x^{2} - 6 x - 4 = - \frac{2}{x + 3} + 1

Move

4

to the right side

3 x^{2} - 6 x = - \frac{2}{x + 3} + 5

Multiply both sides by

x + 3

3 x^{2} (x + 3) - 6 x (x + 3) = - 2 + 5 (x + 3)

Solve

3 x^{2} (x + 3) - 6 x (x + 3) = - 2 + 5 (x + 3) : x \approx - 0.54752 \dots, x \approx 2.59610 \dots, x \approx - 3.04857 \dots

x \approx - 0.54752 \dots, x \approx 2.59610 \dots, x \approx - 3.04857 \dots

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x \approx - 0.54752 \dots, x \approx 2.59610 \dots, x \approx - 3.04857 \dots

\frac{5 x}{3 x - 6} = \frac{3}{2}

\frac{10}{x} = x - 3

\frac{t}{t + 1} = \frac{t + 1}{3}

y, x = \frac{y}{y - 2}

y, x = \frac{y}{y - 1}

What is the answer to 3x^2-6x-4=-2/(x+3)+1 ?
The answer to 3x^2-6x-4=-2/(x+3)+1 is x\approx-0.54752…,x\approx 2.59610…,x\approx-3.04857…
Solve for x: 3x^2-6x-4=-2/(x+3)+1
The solution is x\approx-0.54752…,x\approx 2.59610…,x\approx-3.04857…