Solve x^2-4x x^2 - ScanMath

Pergunta

Simplify the expression

Solution

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

Evaluate

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

Solução

Mais Passos

Evaluate

4 x \times x^{2}

Multiply the terms with the same base by adding their exponents

4 x^{1 + 2}

Add the numbers

4 x^{3}

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

Mostrar solução

Factor

x^{2} (1 - 4 x)

Evaluate

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

Multiply

Mais Passos

Evaluate

4 x \times x^{2}

Multiply the terms with the same base by adding their exponents

4 x^{1 + 2}

Add the numbers

4 x^{3}

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

Rewrite the expression

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

Solução

x^{2} (1 - 4 x)

Mostrar solução

Find the roots of the algebra expression

x_{1} = 0, x_{2} = \frac{1}{4}

Alternative Form

x_{1} = 0, x_{2} = 0.25

Evaluate

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

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

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

Multiply

Mais Passos

Multiply the terms

4 x \times x^{2}

Multiply the terms with the same base by adding their exponents

4 x^{1 + 2}

Add the numbers

4 x^{3}

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

Factor the expression

x^{2} (1 - 4 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 1 - 4 x = 0

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

x = 0 1 - 4 x = 0

Solve the equation

Mais Passos

Evaluate

1 - 4 x = 0

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

- 4 x = 0 - 1

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

- 4 x = - 1

Change the signs on both sides of the equation

4 x = 1

Divide both sides

\frac{4 x}{4} = \frac{1}{4}

Divide the numbers

x = \frac{1}{4}

x = 0 x = \frac{1}{4}

Solução

x_{1} = 0, x_{2} = \frac{1}{4}

Alternative Form

x_{1} = 0, x_{2} = 0.25

Mostrar solução