Solve 5x^43x-2 - ScanMath

Question

Simplify the expression

15 x^{5} - 2

Evaluate

5 x^{4} \times 3 x - 2

Solution

More Steps

Evaluate

5 x^{4} \times 3 x

Multiply the terms

15 x^{4} \times x

Multiply the terms with the same base by adding their exponents

15 x^{4 + 1}

Add the numbers

15 x^{5}

15 x^{5} - 2

Show Solution

x = \frac{5 101250}{15}

Alternative Form

x \approx 0.668325

Evaluate

5 x^{4} \times 3 x - 2

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

5 x^{4} \times 3 x - 2 = 0

Multiply

More Steps

Multiply the terms

5 x^{4} \times 3 x

Multiply the terms

15 x^{4} \times x

Multiply the terms with the same base by adding their exponents

15 x^{4 + 1}

Add the numbers

15 x^{5}

15 x^{5} - 2 = 0

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

15 x^{5} = 0 + 2

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

15 x^{5} = 2

Divide both sides

\frac{15 x ^{5}}{15} = \frac{2}{15}

Divide the numbers

x^{5} = \frac{2}{15}

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

5 x^{5} = 5 \frac{2}{15}

Calculate

x = 5 \frac{2}{15}

Solution

More Steps

Evaluate

5 \frac{2}{15}

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

\frac{5 2}{5 15}

Multiply by the Conjugate

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

Simplify

\frac{5 2 \times 5 50625}{5 15 \times 5 1 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

52 \times 550625

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

5 2 \times 50625

Calculate the product

5101250

\frac{5 101250}{5 15 \times 5 1 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

515 \times 5 1 5^{4}

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

5 15 \times 1 5^{4}

Calculate the product

5 1 5^{5}

Reduce the index of the radical and exponent with 5

15

\frac{5 101250}{15}

x = \frac{5 101250}{15}

Alternative Form

x \approx 0.668325

Show Solution