Solve 250x^240x - 20x

Question

250 x^{2} \times 40 x - 20 x

Simplify the expression

10000 x^{3} - 20 x

Evaluate

250 x^{2} \times 40 x - 20 x

Solution

More Steps

Evaluate

250 x^{2} \times 40 x

Multiply the terms

10000 x^{2} \times x

Multiply the terms with the same base by adding their exponents

10000 x^{2 + 1}

Add the numbers

10000 x^{3}

10000 x^{3} - 20 x

Show Solution

Factor the expression

20 x (500 x^{2} - 1)

Evaluate

250 x^{2} \times 40 x - 20 x

Multiply

More Steps

Evaluate

250 x^{2} \times 40 x

Multiply the terms

10000 x^{2} \times x

Multiply the terms with the same base by adding their exponents

10000 x^{2 + 1}

Add the numbers

10000 x^{3}

10000 x^{3} - 20 x

Rewrite the expression

20 x \times 500 x^{2} - 20 x

Solution

20 x (500 x^{2} - 1)

Show Solution

Find the roots

x_{1} = - \frac{5}{50}, x_{2} = 0, x_{3} = \frac{5}{50}

Alternative Form

x_{1} \approx - 0.044721, x_{2} = 0, x_{3} \approx 0.044721

Evaluate

250 x^{2} \times 40 x - 20 x

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

250 x^{2} \times 40 x - 20 x = 0

Multiply

More Steps

Multiply the terms

250 x^{2} \times 40 x

Multiply the terms

10000 x^{2} \times x

Multiply the terms with the same base by adding their exponents

10000 x^{2 + 1}

Add the numbers

10000 x^{3}

10000 x^{3} - 20 x = 0

Factor the expression

20 x (500 x^{2} - 1) = 0

Divide both sides

x (500 x^{2} - 1) = 0

Separate the equation into 2 possible cases

x = 0 500 x^{2} - 1 = 0

Solve the equation

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Evaluate

500 x^{2} - 1 = 0

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

500 x^{2} = 0 + 1

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

500 x^{2} = 1

Divide both sides

\frac{500 x ^{2}}{500} = \frac{1}{500}

Divide the numbers

x^{2} = \frac{1}{500}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{1}{500}

Simplify the expression

More Steps

Evaluate

\frac{1}{500}

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

\frac{1}{500}

Simplify the radical expression

\frac{1}{500}

Simplify the radical expression

\frac{1}{10 5}

Multiply by the Conjugate

\frac{5}{10 5 \times 5}

Multiply the numbers

\frac{5}{50}

x = \pm \frac{5}{50}

Separate the equation into 2 possible cases

x = \frac{5}{50} x = - \frac{5}{50}

x = 0 x = \frac{5}{50} x = - \frac{5}{50}

Solution

x_{1} = - \frac{5}{50}, x_{2} = 0, x_{3} = \frac{5}{50}

Alternative Form

x_{1} \approx - 0.044721, x_{2} = 0, x_{3} \approx 0.044721

Show Solution