Solve 4 x^228 x - 364x^228x-36

Question

Simplify the expression

- 10080 x^{3} - 36

Show Solution

- 36 (280 x^{3} + 1)

Show Solution

x = - \frac{3 1225}{70}

Alternative Form

x \approx - 0.152855

Evaluate

4 x^{2} \times 28 x - 364 x^{2} \times 28 x - 36

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

4 x^{2} \times 28 x - 364 x^{2} \times 28 x - 36 = 0

Multiply

More Steps

112 x^{3} - 364 x^{2} \times 28 x - 36 = 0

Multiply

More Steps

112 x^{3} - 10192 x^{3} - 36 = 0

Subtract the terms

More Steps

- 10080 x^{3} - 36 = 0

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

- 10080 x^{3} = 0 + 36

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

- 10080 x^{3} = 36

Change the signs on both sides of the equation

10080 x^{3} = - 36

Divide both sides

\frac{10080 x ^{3}}{10080} = \frac{- 36}{10080}

Divide the numbers

x^{3} = \frac{- 36}{10080}

Divide the numbers

More Steps

x^{3} = - \frac{1}{280}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{1}{280}

Calculate

x = 3 - \frac{1}{280}

Solution

More Steps

x = - \frac{3 1225}{70}

Alternative Form

x \approx - 0.152855

Show Solution