Solve 7(53x)-6(x^3)=0

Question

Solve the equation

x_{1} = - \frac{2226}{6}, x_{2} = 0, x_{3} = \frac{2226}{6}

Alternative Form

x_{1} \approx - 7.863417, x_{2} = 0, x_{3} \approx 7.863417

Evaluate

7 \times 53 x - 6 x^{3} = 0

Multiply the numbers

371 x - 6 x^{3} = 0

Factor the expression

x (371 - 6 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 371 - 6 x^{2} = 0

Solve the equation

More Steps

Evaluate

371 - 6 x^{2} = 0

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

- 6 x^{2} = 0 - 371

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

- 6 x^{2} = - 371

Change the signs on both sides of the equation

6 x^{2} = 371

Divide both sides

\frac{6 x ^{2}}{6} = \frac{371}{6}

Divide the numbers

x^{2} = \frac{371}{6}

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

x = \pm \frac{371}{6}

Simplify the expression

More Steps

Evaluate

\frac{371}{6}

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

\frac{371}{6}

Multiply by the Conjugate

\frac{371 \times 6}{6 \times 6}

Multiply the numbers

\frac{2226}{6 \times 6}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{2226}{6}

x = \pm \frac{2226}{6}

Separate the equation into 2 possible cases

x = \frac{2226}{6} x = - \frac{2226}{6}

x = 0 x = \frac{2226}{6} x = - \frac{2226}{6}

Solution

x_{1} = - \frac{2226}{6}, x_{2} = 0, x_{3} = \frac{2226}{6}

Alternative Form

x_{1} \approx - 7.863417, x_{2} = 0, x_{3} \approx 7.863417

Show Solution