Solve 4x^2-20x^3-x^2

Question

Simplify the expression

3 x^{2} - 20 x^{3}

Evaluate

4 x^{2} - 20 x^{3} - x^{2}

Solution

More Steps

Evaluate

4 x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(4 - 1) x^{2}

Subtract the numbers

3 x^{2}

3 x^{2} - 20 x^{3}

Show Solution

x^{2} (3 - 20 x)

Evaluate

4 x^{2} - 20 x^{3} - x^{2}

Subtract the terms

More Steps

Evaluate

4 x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(4 - 1) x^{2}

Subtract the numbers

3 x^{2}

3 x^{2} - 20 x^{3}

Rewrite the expression

x^{2} \times 3 - x^{2} \times 20 x

Solution

x^{2} (3 - 20 x)

Show Solution

x_{1} = 0, x_{2} = \frac{3}{20}

Alternative Form

x_{1} = 0, x_{2} = 0.15

Evaluate

4 x^{2} - 20 x^{3} - x^{2}

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

4 x^{2} - 20 x^{3} - x^{2} = 0

Subtract the terms

More Steps

Simplify

4 x^{2} - 20 x^{3} - x^{2}

Subtract the terms

More Steps

Evaluate

4 x^{2} - x^{2}

Collect like terms by calculating the sum or difference of their coefficients

(4 - 1) x^{2}

Subtract the numbers

3 x^{2}

3 x^{2} - 20 x^{3}

3 x^{2} - 20 x^{3} = 0

Factor the expression

x^{2} (3 - 20 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 - 20 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 3 - 20 x = 0

Solve the equation

More Steps

Evaluate

3 - 20 x = 0

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

- 20 x = 0 - 3

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

- 20 x = - 3

Change the signs on both sides of the equation

20 x = 3

Divide both sides

\frac{20 x}{20} = \frac{3}{20}

Divide the numbers

x = \frac{3}{20}

x = 0 x = \frac{3}{20}

Solution

x_{1} = 0, x_{2} = \frac{3}{20}

Alternative Form

x_{1} = 0, x_{2} = 0.15

Show Solution