Solve 16x^(2) 8x=15

Question

Solve the equation

x = \frac{3 60}{8}

Alternative Form

x \approx 0.489358

Evaluate

16 x^{2} \times 8 x = 15

Multiply

More Steps

Evaluate

16 x^{2} \times 8 x

Multiply the terms

128 x^{2} \times x

Multiply the terms with the same base by adding their exponents

128 x^{2 + 1}

Add the numbers

128 x^{3}

128 x^{3} = 15

Divide both sides

\frac{128 x ^{3}}{128} = \frac{15}{128}

Divide the numbers

x^{3} = \frac{15}{128}

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

3 x^{3} = 3 \frac{15}{128}

Calculate

x = 3 \frac{15}{128}

Solution

More Steps

Evaluate

3 \frac{15}{128}

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

\frac{3 15}{3 128}

Simplify the radical expression

More Steps

Evaluate

3128

Write the expression as a product where the root of one of the factors can be evaluated

3 64 \times 2

Write the number in exponential form with the base of 4

3 4^{3} \times 2

The root of a product is equal to the product of the roots of each factor

3 4^{3} \times 32

Reduce the index of the radical and exponent with 3

432

\frac{3 15}{4 3 2}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

315 \times 34

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

3 15 \times 4

Calculate the product

360

\frac{3 60}{4 3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

432 \times 3 2^{2}

Multiply the terms

4 \times 2

Multiply the terms

8

\frac{3 60}{8}

x = \frac{3 60}{8}

Alternative Form

x \approx 0.489358

Show Solution