Solve 7x^219x - 6

Question

Simplify the expression

133 x^{3} - 6

Evaluate

7 x^{2} \times 19 x - 6

Solution

More Steps

Evaluate

7 x^{2} \times 19 x

Multiply the terms

133 x^{2} \times x

Multiply the terms with the same base by adding their exponents

133 x^{2 + 1}

Add the numbers

133 x^{3}

133 x^{3} - 6

Show Solution

x = \frac{3 106134}{133}

Alternative Form

x \approx 0.355986

Evaluate

7 x^{2} \times 19 x - 6

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

7 x^{2} \times 19 x - 6 = 0

Multiply

More Steps

Multiply the terms

7 x^{2} \times 19 x

Multiply the terms

133 x^{2} \times x

Multiply the terms with the same base by adding their exponents

133 x^{2 + 1}

Add the numbers

133 x^{3}

133 x^{3} - 6 = 0

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

133 x^{3} = 0 + 6

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

133 x^{3} = 6

Divide both sides

\frac{133 x ^{3}}{133} = \frac{6}{133}

Divide the numbers

x^{3} = \frac{6}{133}

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

3 x^{3} = 3 \frac{6}{133}

Calculate

x = 3 \frac{6}{133}

Solution

More Steps

Evaluate

3 \frac{6}{133}

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

\frac{3 6}{3 133}

Multiply by the Conjugate

\frac{3 6 \times 3 13 3 ^{2}}{3 133 \times 3 13 3 ^{2}}

Simplify

\frac{3 6 \times 3 17689}{3 133 \times 3 13 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 317689

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

3 6 \times 17689

Calculate the product

3106134

\frac{3 106134}{3 133 \times 3 13 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

3133 \times 3 13 3^{2}

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

3 133 \times 13 3^{2}

Calculate the product

3 13 3^{3}

Reduce the index of the radical and exponent with 3

133

\frac{3 106134}{133}

x = \frac{3 106134}{133}

Alternative Form

x \approx 0.355986

Show Solution