Solve -27x^320=-5x

Question

Solve the equation

x_{1} = - \frac{3}{18}, x_{2} = 0, x_{3} = \frac{3}{18}

Alternative Form

x_{1} \approx - 0.096225, x_{2} = 0, x_{3} \approx 0.096225

Evaluate

- 27 x^{3} \times 20 = - 5 x

Multiply the terms

- 540 x^{3} = - 5 x

Add or subtract both sides

- 540 x^{3} - (- 5 x) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 540 x^{3} + 5 x = 0

Factor the expression

5 x (- 108 x^{2} + 1) = 0

Divide both sides

x (- 108 x^{2} + 1) = 0

Separate the equation into 2 possible cases

x = 0 - 108 x^{2} + 1 = 0

Solve the equation

More Steps

Evaluate

- 108 x^{2} + 1 = 0

Move the constant to the right-hand side and change its sign

- 108 x^{2} = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- 108 x^{2} = - 1

Change the signs on both sides of the equation

108 x^{2} = 1

Divide both sides

\frac{108 x ^{2}}{108} = \frac{1}{108}

Divide the numbers

x^{2} = \frac{1}{108}

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

x = \pm \frac{1}{108}

Simplify the expression

More Steps

Evaluate

\frac{1}{108}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{108}

Simplify the radical expression

\frac{1}{108}

Simplify the radical expression

\frac{1}{6 3}

Multiply by the Conjugate

\frac{3}{6 3 \times 3}

Multiply the numbers

\frac{3}{18}

x = \pm \frac{3}{18}

Separate the equation into 2 possible cases

x = \frac{3}{18} x = - \frac{3}{18}

x = 0 x = \frac{3}{18} x = - \frac{3}{18}

Solution

x_{1} = - \frac{3}{18}, x_{2} = 0, x_{3} = \frac{3}{18}

Alternative Form

x_{1} \approx - 0.096225, x_{2} = 0, x_{3} \approx 0.096225

Show Solution

Solve the equation

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