Solve x^25x-750 - ScanMath

Question

Simplify the expression

5 x^{3} - 750

Evaluate

x^{2} \times 5 x - 750

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} - 750

Show Solution

5 (x^{3} - 150)

Evaluate

x^{2} \times 5 x - 750

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} - 750

Solution

5 (x^{3} - 150)

Show Solution

x = 3150

Alternative Form

x \approx 5.313293

Evaluate

x^{2} \times 5 x - 750

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

x^{2} \times 5 x - 750 = 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} - 750 = 0

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

5 x^{3} = 0 + 750

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

5 x^{3} = 750

Divide both sides

\frac{5 x ^{3}}{5} = \frac{750}{5}

Divide the numbers

x^{3} = \frac{750}{5}

Divide the numbers

More Steps

Evaluate

\frac{750}{5}

Reduce the numbers

\frac{150}{1}

Calculate

150

x^{3} = 150

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

3 x^{3} = 3150

Solution

x = 3150

Alternative Form

x \approx 5.313293

Show Solution