Solve 25k^2 15k - 66

Question

Simplify the expression

375 k^{3} - 66

Evaluate

25 k^{2} \times 15 k - 66

Solution

More Steps

Evaluate

25 k^{2} \times 15 k

Multiply the terms

375 k^{2} \times k

Multiply the terms with the same base by adding their exponents

375 k^{2 + 1}

Add the numbers

375 k^{3}

375 k^{3} - 66

Show Solution

3 (125 k^{3} - 22)

Evaluate

25 k^{2} \times 15 k - 66

Multiply

More Steps

Evaluate

25 k^{2} \times 15 k

Multiply the terms

375 k^{2} \times k

Multiply the terms with the same base by adding their exponents

375 k^{2 + 1}

Add the numbers

375 k^{3}

375 k^{3} - 66

Solution

3 (125 k^{3} - 22)

Show Solution

k = \frac{3 22}{5}

Alternative Form

k \approx 0.560408

Evaluate

25 k^{2} \times 15 k - 66

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

25 k^{2} \times 15 k - 66 = 0

Multiply

More Steps

Multiply the terms

25 k^{2} \times 15 k

Multiply the terms

375 k^{2} \times k

Multiply the terms with the same base by adding their exponents

375 k^{2 + 1}

Add the numbers

375 k^{3}

375 k^{3} - 66 = 0

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

375 k^{3} = 0 + 66

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

375 k^{3} = 66

Divide both sides

\frac{375 k ^{3}}{375} = \frac{66}{375}

Divide the numbers

k^{3} = \frac{66}{375}

Cancel out the common factor 3

k^{3} = \frac{22}{125}

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

3 k^{3} = 3 \frac{22}{125}

Calculate

k = 3 \frac{22}{125}

Solution

More Steps

Evaluate

3 \frac{22}{125}

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

\frac{3 22}{3 125}

Simplify the radical expression

More Steps

Evaluate

3125

Write the number in exponential form with the base of 5

3 5^{3}

Reduce the index of the radical and exponent with 3

5

\frac{3 22}{5}

k = \frac{3 22}{5}

Alternative Form

k \approx 0.560408

Show Solution