Solve x^25x -300 - ScanMath

Question

Simplify the expression

5 x^{3} - 300

Evaluate

x^{2} \times 5 x - 300

Solution

More Steps

Evaluate

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 300

Show Solution

5 (x^{3} - 60)

Evaluate

x^{2} \times 5 x - 300

Multiply

More Steps

Evaluate

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 300

Solution

5 (x^{3} - 60)

Show Solution

x = 360

Alternative Form

x \approx 3.914868

Evaluate

x^{2} \times 5 x - 300

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

x^{2} \times 5 x - 300 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 5 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 5

Add the numbers

x^{3} \times 5

Use the commutative property to reorder the terms

5 x^{3}

5 x^{3} - 300 = 0

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

5 x^{3} = 0 + 300

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

5 x^{3} = 300

Divide both sides

\frac{5 x ^{3}}{5} = \frac{300}{5}

Divide the numbers

x^{3} = \frac{300}{5}

Divide the numbers

More Steps

Evaluate

\frac{300}{5}

Reduce the numbers

\frac{60}{1}

Calculate

60

x^{3} = 60

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

3 x^{3} = 360

Solution

x = 360

Alternative Form

x \approx 3.914868

Show Solution