Solve 8x - 85x^34

Question

Simplify the expression

8 x - 340 x^{3}

Evaluate

8 x - 85 x^{3} \times 4

Solution

8 x - 340 x^{3}

Show Solution

4 x (2 - 85 x^{2})

Evaluate

8 x - 85 x^{3} \times 4

Multiply the terms

8 x - 340 x^{3}

Rewrite the expression

4 x \times 2 - 4 x \times 85 x^{2}

Solution

4 x (2 - 85 x^{2})

Show Solution

x_{1} = - \frac{170}{85}, x_{2} = 0, x_{3} = \frac{170}{85}

Alternative Form

x_{1} \approx - 0.153393, x_{2} = 0, x_{3} \approx 0.153393

Evaluate

8 x - 85 x^{3} \times 4

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

8 x - 85 x^{3} \times 4 = 0

Multiply the terms

8 x - 340 x^{3} = 0

Factor the expression

4 x (2 - 85 x^{2}) = 0

Divide both sides

x (2 - 85 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 2 - 85 x^{2} = 0

Solve the equation

More Steps

Evaluate

2 - 85 x^{2} = 0

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

- 85 x^{2} = 0 - 2

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

- 85 x^{2} = - 2

Change the signs on both sides of the equation

85 x^{2} = 2

Divide both sides

\frac{85 x ^{2}}{85} = \frac{2}{85}

Divide the numbers

x^{2} = \frac{2}{85}

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

x = \pm \frac{2}{85}

Simplify the expression

More Steps

Evaluate

\frac{2}{85}

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

\frac{2}{85}

Multiply by the Conjugate

\frac{2 \times 85}{85 \times 85}

Multiply the numbers

\frac{170}{85 \times 85}

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

\frac{170}{85}

x = \pm \frac{170}{85}

Separate the equation into 2 possible cases

x = \frac{170}{85} x = - \frac{170}{85}

x = 0 x = \frac{170}{85} x = - \frac{170}{85}

Solution

x_{1} = - \frac{170}{85}, x_{2} = 0, x_{3} = \frac{170}{85}

Alternative Form

x_{1} \approx - 0.153393, x_{2} = 0, x_{3} \approx 0.153393

Show Solution