Solve 3x^2-8x^2 4x

Question

Simplify the expression

3 x^{2} - 32 x^{3}

Evaluate

3 x^{2} - 8 x^{2} \times 4 x

Solution

More Steps

Evaluate

8 x^{2} \times 4 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

3 x^{2} - 32 x^{3}

Show Solution

x^{2} (3 - 32 x)

Evaluate

3 x^{2} - 8 x^{2} \times 4 x

Multiply

More Steps

Evaluate

8 x^{2} \times 4 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

3 x^{2} - 32 x^{3}

Rewrite the expression

x^{2} \times 3 - x^{2} \times 32 x

Solution

x^{2} (3 - 32 x)

Show Solution

x_{1} = 0, x_{2} = \frac{3}{32}

Alternative Form

x_{1} = 0, x_{2} = 0.09375

Evaluate

3 x^{2} - 8 x^{2} \times 4 x

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

3 x^{2} - 8 x^{2} \times 4 x = 0

Multiply

More Steps

Multiply the terms

8 x^{2} \times 4 x

Multiply the terms

32 x^{2} \times x

Multiply the terms with the same base by adding their exponents

32 x^{2 + 1}

Add the numbers

32 x^{3}

3 x^{2} - 32 x^{3} = 0

Factor the expression

x^{2} (3 - 32 x) = 0

Separate the equation into 2 possible cases

x^{2} = 0 3 - 32 x = 0

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

x = 0 3 - 32 x = 0

Solve the equation

More Steps

Evaluate

3 - 32 x = 0

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

- 32 x = 0 - 3

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

- 32 x = - 3

Change the signs on both sides of the equation

32 x = 3

Divide both sides

\frac{32 x}{32} = \frac{3}{32}

Divide the numbers

x = \frac{3}{32}

x = 0 x = \frac{3}{32}

Solution

x_{1} = 0, x_{2} = \frac{3}{32}

Alternative Form

x_{1} = 0, x_{2} = 0.09375

Show Solution