Solve -3(5k^3)=-6k

Question

Solve the equation

k_{1} = - \frac{10}{5}, k_{2} = 0, k_{3} = \frac{10}{5}

Alternative Form

k_{1} \approx - 0.632456, k_{2} = 0, k_{3} \approx 0.632456

Evaluate

- 3 \times 5 k^{3} = - 6 k

Multiply the numbers

- 15 k^{3} = - 6 k

Add or subtract both sides

- 15 k^{3} - (- 6 k) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 15 k^{3} + 6 k = 0

Factor the expression

3 k (- 5 k^{2} + 2) = 0

Divide both sides

k (- 5 k^{2} + 2) = 0

Separate the equation into 2 possible cases

k = 0 - 5 k^{2} + 2 = 0

Solve the equation

More Steps

Evaluate

- 5 k^{2} + 2 = 0

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

- 5 k^{2} = 0 - 2

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

- 5 k^{2} = - 2

Change the signs on both sides of the equation

5 k^{2} = 2

Divide both sides

\frac{5 k ^{2}}{5} = \frac{2}{5}

Divide the numbers

k^{2} = \frac{2}{5}

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

k = \pm \frac{2}{5}

Simplify the expression

More Steps

Evaluate

\frac{2}{5}

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

\frac{2}{5}

Multiply by the Conjugate

\frac{2 \times 5}{5 \times 5}

Multiply the numbers

\frac{10}{5 \times 5}

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

\frac{10}{5}

k = \pm \frac{10}{5}

Separate the equation into 2 possible cases

k = \frac{10}{5} k = - \frac{10}{5}

k = 0 k = \frac{10}{5} k = - \frac{10}{5}

Solution

k_{1} = - \frac{10}{5}, k_{2} = 0, k_{3} = \frac{10}{5}

Alternative Form

k_{1} \approx - 0.632456, k_{2} = 0, k_{3} \approx 0.632456

Show Solution

Solve the equation

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