Solve 86x-213x831x^3

Question

Simplify the expression

86 x - 177003 x^{4}

Evaluate

86 x - 213 x \times 831 x^{3}

Solution

More Steps

Evaluate

213 x \times 831 x^{3}

Multiply the terms

177003 x \times x^{3}

Multiply the terms with the same base by adding their exponents

177003 x^{1 + 3}

Add the numbers

177003 x^{4}

86 x - 177003 x^{4}

Show Solution

Factor the expression

x (86 - 177003 x^{3})

Evaluate

86 x - 213 x \times 831 x^{3}

Multiply

More Steps

Evaluate

213 x \times 831 x^{3}

Multiply the terms

177003 x \times x^{3}

Multiply the terms with the same base by adding their exponents

177003 x^{1 + 3}

Add the numbers

177003 x^{4}

86 x - 177003 x^{4}

Rewrite the expression

x \times 86 - x \times 177003 x^{3}

Solution

x (86 - 177003 x^{3})

Show Solution

Find the roots

x_{1} = 0, x_{2} = \frac{3 86 \times 17700 3 ^{2}}{177003}

Alternative Form

x_{1} = 0, x_{2} \approx 0.078615

Evaluate

86 x - 213 x \times 831 x^{3}

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

86 x - 213 x \times 831 x^{3} = 0

Multiply

More Steps

Multiply the terms

213 x \times 831 x^{3}

Multiply the terms

177003 x \times x^{3}

Multiply the terms with the same base by adding their exponents

177003 x^{1 + 3}

Add the numbers

177003 x^{4}

86 x - 177003 x^{4} = 0

Factor the expression

x (86 - 177003 x^{3}) = 0

Separate the equation into 2 possible cases

x = 0 86 - 177003 x^{3} = 0

Solve the equation

More Steps

Evaluate

86 - 177003 x^{3} = 0

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

- 177003 x^{3} = 0 - 86

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

- 177003 x^{3} = - 86

Change the signs on both sides of the equation

177003 x^{3} = 86

Divide both sides

\frac{177003 x ^{3}}{177003} = \frac{86}{177003}

Divide the numbers

x^{3} = \frac{86}{177003}

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

3 x^{3} = 3 \frac{86}{177003}

Calculate

x = 3 \frac{86}{177003}

Simplify the root

More Steps

Evaluate

3 \frac{86}{177003}

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

\frac{3 86}{3 177003}

Multiply by the Conjugate

\frac{3 86 \times 3 17700 3 ^{2}}{3 177003 \times 3 17700 3 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 86 \times 17700 3 ^{2}}{3 177003 \times 3 17700 3 ^{2}}

Multiply the numbers

\frac{3 86 \times 17700 3 ^{2}}{177003}

x = \frac{3 86 \times 17700 3 ^{2}}{177003}

x = 0 x = \frac{3 86 \times 17700 3 ^{2}}{177003}

Solution

x_{1} = 0, x_{2} = \frac{3 86 \times 17700 3 ^{2}}{177003}

Alternative Form

x_{1} = 0, x_{2} \approx 0.078615

Show Solution