Solve 10-7x^210x - ScanMath

Question

Simplify the expression

10 - 70 x^{3}

Evaluate

10 - 7 x^{2} \times 10 x

Solution

More Steps

Evaluate

7 x^{2} \times 10 x

Multiply the terms

70 x^{2} \times x

Multiply the terms with the same base by adding their exponents

70 x^{2 + 1}

Add the numbers

70 x^{3}

10 - 70 x^{3}

Show Solution

Factor the expression

10 (1 - 7 x^{3})

Evaluate

10 - 7 x^{2} \times 10 x

Multiply

More Steps

Evaluate

7 x^{2} \times 10 x

Multiply the terms

70 x^{2} \times x

Multiply the terms with the same base by adding their exponents

70 x^{2 + 1}

Add the numbers

70 x^{3}

10 - 70 x^{3}

Solution

10 (1 - 7 x^{3})

Show Solution

Find the roots

x = \frac{3 49}{7}

Alternative Form

x \approx 0.522758

Evaluate

10 - 7 x^{2} \times 10 x

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

10 - 7 x^{2} \times 10 x = 0

Multiply

More Steps

Multiply the terms

7 x^{2} \times 10 x

Multiply the terms

70 x^{2} \times x

Multiply the terms with the same base by adding their exponents

70 x^{2 + 1}

Add the numbers

70 x^{3}

10 - 70 x^{3} = 0

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

- 70 x^{3} = 0 - 10

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

- 70 x^{3} = - 10

Change the signs on both sides of the equation

70 x^{3} = 10

Divide both sides

\frac{70 x ^{3}}{70} = \frac{10}{70}

Divide the numbers

x^{3} = \frac{10}{70}

Cancel out the common factor 10

x^{3} = \frac{1}{7}

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

3 x^{3} = 3 \frac{1}{7}

Calculate

x = 3 \frac{1}{7}

Solution

More Steps

Evaluate

3 \frac{1}{7}

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

\frac{3 1}{3 7}

Simplify the radical expression

\frac{1}{3 7}

Multiply by the Conjugate

\frac{3 7 ^{2}}{3 7 \times 3 7 ^{2}}

Simplify

\frac{3 49}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 3 7^{2}

The product of roots with the same index is equal to the root of the product

3 7 \times 7^{2}

Calculate the product

3 7^{3}

Reduce the index of the radical and exponent with 3

7

\frac{3 49}{7}

x = \frac{3 49}{7}

Alternative Form

x \approx 0.522758

Show Solution