Solve 2x^43x-6=23

Question

Solve the equation

x = \frac{5 37584}{6}

Alternative Form

x \approx 1.370406

Evaluate

2 x^{4} \times 3 x - 6 = 23

Multiply

More Steps

Evaluate

2 x^{4} \times 3 x

Multiply the terms

6 x^{4} \times x

Multiply the terms with the same base by adding their exponents

6 x^{4 + 1}

Add the numbers

6 x^{5}

6 x^{5} - 6 = 23

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

6 x^{5} = 23 + 6

Add the numbers

6 x^{5} = 29

Divide both sides

\frac{6 x ^{5}}{6} = \frac{29}{6}

Divide the numbers

x^{5} = \frac{29}{6}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{29}{6}

Calculate

x = 5 \frac{29}{6}

Solution

More Steps

Evaluate

5 \frac{29}{6}

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

\frac{5 29}{5 6}

Multiply by the Conjugate

\frac{5 29 \times 5 6 ^{4}}{5 6 \times 5 6 ^{4}}

Simplify

\frac{5 29 \times 5 1296}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

529 \times 51296

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

5 29 \times 1296

Calculate the product

537584

\frac{5 37584}{5 6 \times 5 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

56 \times 5 6^{4}

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

5 6 \times 6^{4}

Calculate the product

5 6^{5}

Reduce the index of the radical and exponent with 5

6

\frac{5 37584}{6}

x = \frac{5 37584}{6}

Alternative Form

x \approx 1.370406

Show Solution