Solve 4x^223x - 6

Question

Simplify the expression

92 x^{3} - 6

Evaluate

4 x^{2} \times 23 x - 6

Solution

More Steps

Evaluate

4 x^{2} \times 23 x

Multiply the terms

92 x^{2} \times x

Multiply the terms with the same base by adding their exponents

92 x^{2 + 1}

Add the numbers

92 x^{3}

92 x^{3} - 6

Show Solution

Factor the expression

2 (46 x^{3} - 3)

Evaluate

4 x^{2} \times 23 x - 6

Multiply

More Steps

Evaluate

4 x^{2} \times 23 x

Multiply the terms

92 x^{2} \times x

Multiply the terms with the same base by adding their exponents

92 x^{2 + 1}

Add the numbers

92 x^{3}

92 x^{3} - 6

Solution

2 (46 x^{3} - 3)

Show Solution

Find the roots

x = \frac{3 6348}{46}

Alternative Form

x \approx 0.40252

Evaluate

4 x^{2} \times 23 x - 6

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

4 x^{2} \times 23 x - 6 = 0

Multiply

More Steps

Multiply the terms

4 x^{2} \times 23 x

Multiply the terms

92 x^{2} \times x

Multiply the terms with the same base by adding their exponents

92 x^{2 + 1}

Add the numbers

92 x^{3}

92 x^{3} - 6 = 0

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

92 x^{3} = 0 + 6

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

92 x^{3} = 6

Divide both sides

\frac{92 x ^{3}}{92} = \frac{6}{92}

Divide the numbers

x^{3} = \frac{6}{92}

Cancel out the common factor 2

x^{3} = \frac{3}{46}

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

3 x^{3} = 3 \frac{3}{46}

Calculate

x = 3 \frac{3}{46}

Solution

More Steps

Evaluate

3 \frac{3}{46}

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

\frac{3 3}{3 46}

Multiply by the Conjugate

\frac{3 3 \times 3 4 6 ^{2}}{3 46 \times 3 4 6 ^{2}}

Simplify

\frac{3 3 \times 3 2116}{3 46 \times 3 4 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

33 \times 32116

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

3 3 \times 2116

Calculate the product

36348

\frac{3 6348}{3 46 \times 3 4 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

346 \times 3 4 6^{2}

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

3 46 \times 4 6^{2}

Calculate the product

3 4 6^{3}

Reduce the index of the radical and exponent with 3

46

\frac{3 6348}{46}

x = \frac{3 6348}{46}

Alternative Form

x \approx 0.40252

Show Solution