Solve x^2 10x-30 - ScanMath

Question

Simplify the expression

10 x^{3} - 30

Evaluate

x^{2} \times 10 x - 30

Solution

More Steps

Evaluate

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 30

Show Solution

10 (x^{3} - 3)

Evaluate

x^{2} \times 10 x - 30

Multiply

More Steps

Evaluate

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 30

Solution

10 (x^{3} - 3)

Show Solution

x = 33

Alternative Form

x \approx 1.44225

Evaluate

x^{2} \times 10 x - 30

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

x^{2} \times 10 x - 30 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 10 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 10

Add the numbers

x^{3} \times 10

Use the commutative property to reorder the terms

10 x^{3}

10 x^{3} - 30 = 0

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

10 x^{3} = 0 + 30

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

10 x^{3} = 30

Divide both sides

\frac{10 x ^{3}}{10} = \frac{30}{10}

Divide the numbers

x^{3} = \frac{30}{10}

Divide the numbers

More Steps

Evaluate

\frac{30}{10}

Reduce the numbers

\frac{3}{1}

Calculate

3

x^{3} = 3

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

3 x^{3} = 33

Solution

x = 33

Alternative Form

x \approx 1.44225

Show Solution