Solve 2x^6x92-5/8

Question

Simplify the expression

184 x^{7} - \frac{5}{8}

Evaluate

2 x^{6} \times x \times 92 - \frac{5}{8}

Solution

More Steps

Evaluate

2 x^{6} \times x \times 92

Multiply the terms

184 x^{6} \times x

Multiply the terms with the same base by adding their exponents

184 x^{6 + 1}

Add the numbers

184 x^{7}

184 x^{7} - \frac{5}{8}

Show Solution

Factor the expression

\frac{1}{8} (1472 x^{7} - 5)

Evaluate

2 x^{6} \times x \times 92 - \frac{5}{8}

Multiply

More Steps

Evaluate

2 x^{6} \times x \times 92

Multiply the terms

184 x^{6} \times x

Multiply the terms with the same base by adding their exponents

184 x^{6 + 1}

Add the numbers

184 x^{7}

184 x^{7} - \frac{5}{8}

Solution

\frac{1}{8} (1472 x^{7} - 5)

Show Solution

Find the roots

x = \frac{7 5 \times 147 2 ^{6}}{1472}

Alternative Form

x \approx 0.44391

Evaluate

2 x^{6} \times x \times 92 - \frac{5}{8}

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

2 x^{6} \times x \times 92 - \frac{5}{8} = 0

Multiply

More Steps

Multiply the terms

2 x^{6} \times x \times 92

Multiply the terms

184 x^{6} \times x

Multiply the terms with the same base by adding their exponents

184 x^{6 + 1}

Add the numbers

184 x^{7}

184 x^{7} - \frac{5}{8} = 0

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

184 x^{7} = 0 + \frac{5}{8}

Add the terms

184 x^{7} = \frac{5}{8}

Multiply by the reciprocal

184 x^{7} \times \frac{1}{184} = \frac{5}{8} \times \frac{1}{184}

Multiply

x^{7} = \frac{5}{8} \times \frac{1}{184}

Multiply

More Steps

Evaluate

\frac{5}{8} \times \frac{1}{184}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5}{8 \times 184}

Multiply the numbers

\frac{5}{1472}

x^{7} = \frac{5}{1472}

Take the 7 -th root on both sides of the equation

7 x^{7} = 7 \frac{5}{1472}

Calculate

x = 7 \frac{5}{1472}

Solution

More Steps

Evaluate

7 \frac{5}{1472}

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

\frac{7 5}{7 1472}

Multiply by the Conjugate

\frac{7 5 \times 7 147 2 ^{6}}{7 1472 \times 7 147 2 ^{6}}

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

\frac{7 5 \times 147 2 ^{6}}{7 1472 \times 7 147 2 ^{6}}

Multiply the numbers

More Steps

Evaluate

71472 \times 7 147 2^{6}

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

7 1472 \times 147 2^{6}

Calculate the product

7 147 2^{7}

Reduce the index of the radical and exponent with 7

1472

\frac{7 5 \times 147 2 ^{6}}{1472}

x = \frac{7 5 \times 147 2 ^{6}}{1472}

Alternative Form

x \approx 0.44391

Show Solution