What is the answer to 7/(5*(-7x^2+2)^2)= 5/7 ?

The answer to 7/(5*(-7x^2+2)^2)= 5/7 is x=sqrt(3/35),x=-sqrt(3/35),x=sqrt(17/35),x=-sqrt(17/35)

Solve for x: 7/(5*(-7x^2+2)^2)= 5/7

The solution is x=sqrt(3/35),x=-sqrt(3/35),x=sqrt(17/35),x=-sqrt(17/35)

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\frac{7}{5 \cdot ( - 7 x ^{2} + 2 ) ^{2}} = \frac{5}{7}

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

Decimal Notation

x = 0.29277 \dots, x = - 0.29277 \dots, x = 0.69693 \dots, x = - 0.69693 \dots

Solution steps

\frac{7}{5 ( - 7 x ^{2} + 2 ) ^{2}} = \frac{5}{7}

Cross multiply

49 = 25 (- 7 x^{2} + 2)^{2}

Solve

49 = 25 (- 7 x^{2} + 2)^{2} : x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{7}, x = - \frac{2}{7}

Combine undefined points with solutions:

x = \frac{3}{35}, x = - \frac{3}{35}, x = \frac{17}{35}, x = - \frac{17}{35}

\frac{2 x}{3 x + 6} = \frac{3}{2}

x, f = \frac{{ x }}{( 1 + { x } )}

\frac{1}{x} - \frac{1}{( x + b )} = \frac{1}{a} - \frac{1}{( a + b )}

l, z = \frac{( 1 + l )}{( ( 3 + l ) ^{2} )}

x, \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{5}

What is the answer to 7/(5*(-7x^2+2)^2)= 5/7 ?
The answer to 7/(5*(-7x^2+2)^2)= 5/7 is x=sqrt(3/35),x=-sqrt(3/35),x=sqrt(17/35),x=-sqrt(17/35)
Solve for x: 7/(5*(-7x^2+2)^2)= 5/7
The solution is x=sqrt(3/35),x=-sqrt(3/35),x=sqrt(17/35),x=-sqrt(17/35)