Solve 350x^2325x^3 - 125

Question

Simplify the expression

113750 x^{5} - 125

Evaluate

350 x^{2} \times 325 x^{3} - 125

Solution

More Steps

Evaluate

350 x^{2} \times 325 x^{3}

Multiply the terms

113750 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

113750 x^{2 + 3}

Add the numbers

113750 x^{5}

113750 x^{5} - 125

Show Solution

125 (910 x^{5} - 1)

Evaluate

350 x^{2} \times 325 x^{3} - 125

Multiply

More Steps

Evaluate

350 x^{2} \times 325 x^{3}

Multiply the terms

113750 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

113750 x^{2 + 3}

Add the numbers

113750 x^{5}

113750 x^{5} - 125

Solution

125 (910 x^{5} - 1)

Show Solution

x = \frac{5 91 0 ^{4}}{910}

Alternative Form

x \approx 0.255972

Evaluate

350 x^{2} \times 325 x^{3} - 125

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

350 x^{2} \times 325 x^{3} - 125 = 0

Multiply

More Steps

Multiply the terms

350 x^{2} \times 325 x^{3}

Multiply the terms

113750 x^{2} \times x^{3}

Multiply the terms with the same base by adding their exponents

113750 x^{2 + 3}

Add the numbers

113750 x^{5}

113750 x^{5} - 125 = 0

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

113750 x^{5} = 0 + 125

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

113750 x^{5} = 125

Divide both sides

\frac{113750 x ^{5}}{113750} = \frac{125}{113750}

Divide the numbers

x^{5} = \frac{125}{113750}

Cancel out the common factor 125

x^{5} = \frac{1}{910}

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

5 x^{5} = 5 \frac{1}{910}

Calculate

x = 5 \frac{1}{910}

Solution

More Steps

Evaluate

5 \frac{1}{910}

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

\frac{5 1}{5 910}

Simplify the radical expression

\frac{1}{5 910}

Multiply by the Conjugate

\frac{5 91 0 ^{4}}{5 910 \times 5 91 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5910 \times 5 91 0^{4}

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

5 910 \times 91 0^{4}

Calculate the product

5 91 0^{5}

Reduce the index of the radical and exponent with 5

910

\frac{5 91 0 ^{4}}{910}

x = \frac{5 91 0 ^{4}}{910}

Alternative Form

x \approx 0.255972

Show Solution