Solve 8:x=40 x - ScanMath

Evaluate

8 \div x = 40 x

Find the domain

8 \div x = 40 x, x \neq = 0

Rewrite the expression

\frac{8}{x} = 40 x

Cross multiply

8 = x \times 40 x

Simplify the equation

8 = 40 x^{2}

Rewrite the expression

8 = 8 \times 5 x^{2}

Evaluate

1 = 5 x^{2}

Swap the sides of the equation

5 x^{2} = 1

Divide both sides

\frac{5 x ^{2}}{5} = \frac{1}{5}

Divide the numbers

x^{2} = \frac{1}{5}

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

x = \pm \frac{1}{5}

Simplify the expression

More Steps

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

Separate the equation into 2 possible cases

x = \frac{5}{5} x = - \frac{5}{5}

Check if the solution is in the defined range

x = \frac{5}{5} x = - \frac{5}{5}, x \neq = 0

Find the intersection of the solution and the defined range

x = \frac{5}{5} x = - \frac{5}{5}

Solution

x_{1} = - \frac{5}{5}, x_{2} = \frac{5}{5}

Alternative Form

x_{1} \approx - 0.447214, x_{2} \approx 0.447214

Solve the equation