Solve 6013x-x^3224

Question

Simplify the expression

6013 x - 224 x^{3}

Evaluate

6013 x - x^{3} \times 224

Solution

6013 x - 224 x^{3}

Show Solution

7 x (859 - 32 x^{2})

Evaluate

6013 x - x^{3} \times 224

Use the commutative property to reorder the terms

6013 x - 224 x^{3}

Rewrite the expression

7 x \times 859 - 7 x \times 32 x^{2}

Solution

7 x (859 - 32 x^{2})

Show Solution

x_{1} = - \frac{1718}{8}, x_{2} = 0, x_{3} = \frac{1718}{8}

Alternative Form

x_{1} \approx - 5.181095, x_{2} = 0, x_{3} \approx 5.181095

Evaluate

6013 x - x^{3} \times 224

To find the roots of the expression,set the expression equal to 0

6013 x - x^{3} \times 224 = 0

Use the commutative property to reorder the terms

6013 x - 224 x^{3} = 0

Factor the expression

7 x (859 - 32 x^{2}) = 0

Divide both sides

x (859 - 32 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 859 - 32 x^{2} = 0

Solve the equation

More Steps

Evaluate

859 - 32 x^{2} = 0

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

- 32 x^{2} = 0 - 859

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

- 32 x^{2} = - 859

Change the signs on both sides of the equation

32 x^{2} = 859

Divide both sides

\frac{32 x ^{2}}{32} = \frac{859}{32}

Divide the numbers

x^{2} = \frac{859}{32}

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

x = \pm \frac{859}{32}

Simplify the expression

More Steps

Evaluate

\frac{859}{32}

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

\frac{859}{32}

Simplify the radical expression

\frac{859}{4 2}

Multiply by the Conjugate

\frac{859 \times 2}{4 2 \times 2}

Multiply the numbers

\frac{1718}{4 2 \times 2}

Multiply the numbers

\frac{1718}{8}

x = \pm \frac{1718}{8}

Separate the equation into 2 possible cases

x = \frac{1718}{8} x = - \frac{1718}{8}

x = 0 x = \frac{1718}{8} x = - \frac{1718}{8}

Solution

x_{1} = - \frac{1718}{8}, x_{2} = 0, x_{3} = \frac{1718}{8}

Alternative Form

x_{1} \approx - 5.181095, x_{2} = 0, x_{3} \approx 5.181095

Show Solution