What is the answer to 2x=(3x^2-16)/x ?

The answer to 2x=(3x^2-16)/x is x=4,x=-4

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2x=(3x^2-16)/x

2 x = \frac{3 x ^{2} - 16}{x}

x = 4, x = - 4

Solution steps

2 x = \frac{3 x ^{2} - 16}{x}

Multiply both sides by

x

2 x^{2} = 3 x^{2} - 16

Solve

2 x^{2} = 3 x^{2} - 16 : x = 4, x = - 4

x = 4, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 4

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

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

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

\frac{15}{x} = x - 2

\frac{1}{x + 3} + 2 = \frac{9}{x + 3}