Solve 20/x=212 x - ScanMath

Evaluate

\frac{20}{x} = 212 x

Find the domain

\frac{20}{x} = 212 x, x \neq = 0

Cross multiply

20 = x \times 212 x

Simplify the equation

20 = 212 x^{2}

Rewrite the expression

4 \times 5 = 4 \times 53 x^{2}

Evaluate

5 = 53 x^{2}

Swap the sides of the equation

53 x^{2} = 5

Divide both sides

\frac{53 x ^{2}}{53} = \frac{5}{53}

Divide the numbers

x^{2} = \frac{5}{53}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{5}{53}

Simplify the expression

More Steps

x = \pm \frac{265}{53}

Separate the equation into 2 possible cases

x = \frac{265}{53} x = - \frac{265}{53}

Check if the solution is in the defined range

x = \frac{265}{53} x = - \frac{265}{53}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{265}{53} x = - \frac{265}{53}

Solution

x_{1} = - \frac{265}{53}, x_{2} = \frac{265}{53}

Alternative Form

x_{1} \approx - 0.307148, x_{2} \approx 0.307148

Solve the equation