Solve (3s 9)-(2s^3)

Question

Simplify the expression

27 s - 2 s^{3}

Evaluate

(3 s \times 9) - 2 s^{3}

Solution

27 s - 2 s^{3}

Show Solution

s (27 - 2 s^{2})

Evaluate

(3 s \times 9) - 2 s^{3}

Multiply the terms

27 s - 2 s^{3}

Rewrite the expression

s \times 27 - s \times 2 s^{2}

Solution

s (27 - 2 s^{2})

Show Solution

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

Alternative Form

s_{1} \approx - 3.674235, s_{2} = 0, s_{3} \approx 3.674235

Evaluate

(3 s \times 9) - (2 s^{3})

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

(3 s \times 9) - (2 s^{3}) = 0

Multiply the terms

27 s - (2 s^{3}) = 0

Multiply the terms

27 s - 2 s^{3} = 0

Factor the expression

s (27 - 2 s^{2}) = 0

Separate the equation into 2 possible cases

s = 0 27 - 2 s^{2} = 0

Solve the equation

More Steps

Evaluate

27 - 2 s^{2} = 0

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

- 2 s^{2} = 0 - 27

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

- 2 s^{2} = - 27

Change the signs on both sides of the equation

2 s^{2} = 27

Divide both sides

\frac{2 s ^{2}}{2} = \frac{27}{2}

Divide the numbers

s^{2} = \frac{27}{2}

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

s = \pm \frac{27}{2}

Simplify the expression

More Steps

Evaluate

\frac{27}{2}

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

\frac{27}{2}

Simplify the radical expression

\frac{3 3}{2}

Multiply by the Conjugate

\frac{3 3 \times 2}{2 \times 2}

Multiply the numbers

\frac{3 6}{2 \times 2}

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

\frac{3 6}{2}

s = \pm \frac{3 6}{2}

Separate the equation into 2 possible cases

s = \frac{3 6}{2} s = - \frac{3 6}{2}

s = 0 s = \frac{3 6}{2} s = - \frac{3 6}{2}

Solution

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

Alternative Form

s_{1} \approx - 3.674235, s_{2} = 0, s_{3} \approx 3.674235

Show Solution