Solve 5x^233x-44=0

Question

Solve the equation

x = \frac{3 900}{15}

Alternative Form

x \approx 0.64366

Evaluate

5 x^{2} \times 33 x - 44 = 0

Multiply

More Steps

Evaluate

5 x^{2} \times 33 x

Multiply the terms

165 x^{2} \times x

Multiply the terms with the same base by adding their exponents

165 x^{2 + 1}

Add the numbers

165 x^{3}

165 x^{3} - 44 = 0

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

165 x^{3} = 0 + 44

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

165 x^{3} = 44

Divide both sides

\frac{165 x ^{3}}{165} = \frac{44}{165}

Divide the numbers

x^{3} = \frac{44}{165}

Cancel out the common factor 11

x^{3} = \frac{4}{15}

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

3 x^{3} = 3 \frac{4}{15}

Calculate

x = 3 \frac{4}{15}

Solution

More Steps

Evaluate

3 \frac{4}{15}

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

\frac{3 4}{3 15}

Multiply by the Conjugate

\frac{3 4 \times 3 1 5 ^{2}}{3 15 \times 3 1 5 ^{2}}

Simplify

\frac{3 4 \times 3 225}{3 15 \times 3 1 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

34 \times 3225

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

3 4 \times 225

Calculate the product

3900

\frac{3 900}{3 15 \times 3 1 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

315 \times 3 1 5^{2}

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

3 15 \times 1 5^{2}

Calculate the product

3 1 5^{3}

Reduce the index of the radical and exponent with 3

15

\frac{3 900}{15}

x = \frac{3 900}{15}

Alternative Form

x \approx 0.64366

Show Solution