Solve 2x^2 2x-348

Question

Simplify the expression

4 x^{3} - 348

Evaluate

2 x^{2} \times 2 x - 348

Solution

More Steps

Evaluate

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 348

Show Solution

4 (x^{3} - 87)

Evaluate

2 x^{2} \times 2 x - 348

Multiply

More Steps

Evaluate

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 348

Solution

4 (x^{3} - 87)

Show Solution

x = 387

Alternative Form

x \approx 4.431048

Evaluate

2 x^{2} \times 2 x - 348

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

2 x^{2} \times 2 x - 348 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 2 x

Multiply the terms

4 x^{2} \times x

Multiply the terms with the same base by adding their exponents

4 x^{2 + 1}

Add the numbers

4 x^{3}

4 x^{3} - 348 = 0

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

4 x^{3} = 0 + 348

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

4 x^{3} = 348

Divide both sides

\frac{4 x ^{3}}{4} = \frac{348}{4}

Divide the numbers

x^{3} = \frac{348}{4}

Divide the numbers

More Steps

Evaluate

\frac{348}{4}

Reduce the numbers

\frac{87}{1}

Calculate

87

x^{3} = 87

Take the 3 -th root on both sides of the equation

3 x^{3} = 387

Solution

x = 387

Alternative Form

x \approx 4.431048

Show Solution