What is the answer to 5/((2x^2))-1/((6x^2))= 7/12 ?

The answer to 5/((2x^2))-1/((6x^2))= 7/12 is x=2,x=-2

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5/((2x^2))-1/((6x^2))= 7/12

\frac{5}{( 2 x ^{2} )} - \frac{1}{( 6 x ^{2} )} = \frac{7}{12}

x = 2, x = - 2

Solution steps

\frac{5}{( 2 x ^{2} )} - \frac{1}{( 6 x ^{2} )} = \frac{7}{12}

Multiply by LCM

28 = 7 x^{2}

Solve

28 = 7 x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

0 = \frac{2}{3 x + 2}

\frac{1}{2 \cdot ( x + \frac{1}{5} )} = \frac{9}{5}

\frac{2}{( 5 x )} - \frac{1}{30} = \frac{5}{( 2 x )}

\frac{\frac{11}{3}}{\frac{x}{5}} = \frac{5}{9}

8 (\frac{a ^{3} - 1}{a ^{3}}) = 63

What is the answer to 5/((2x^2))-1/((6x^2))= 7/12 ?
The answer to 5/((2x^2))-1/((6x^2))= 7/12 is x=2,x=-2
Solve for x: 5/((2x^2))-1/((6x^2))= 7/12
The solution is x=2,x=-2