Solve 2x^2 12x-1101

Question

Simplify the expression

24 x^{3} - 1101

Evaluate

2 x^{2} \times 12 x - 1101

Solution

More Steps

Evaluate

2 x^{2} \times 12 x

Multiply the terms

24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

24 x^{2 + 1}

Add the numbers

24 x^{3}

24 x^{3} - 1101

Show Solution

3 (8 x^{3} - 367)

Evaluate

2 x^{2} \times 12 x - 1101

Multiply

More Steps

Evaluate

2 x^{2} \times 12 x

Multiply the terms

24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

24 x^{2 + 1}

Add the numbers

24 x^{3}

24 x^{3} - 1101

Solution

3 (8 x^{3} - 367)

Show Solution

x = \frac{3 367}{2}

Alternative Form

x \approx 3.579799

Evaluate

2 x^{2} \times 12 x - 1101

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

2 x^{2} \times 12 x - 1101 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 12 x

Multiply the terms

24 x^{2} \times x

Multiply the terms with the same base by adding their exponents

24 x^{2 + 1}

Add the numbers

24 x^{3}

24 x^{3} - 1101 = 0

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

24 x^{3} = 0 + 1101

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

24 x^{3} = 1101

Divide both sides

\frac{24 x ^{3}}{24} = \frac{1101}{24}

Divide the numbers

x^{3} = \frac{1101}{24}

Cancel out the common factor 3

x^{3} = \frac{367}{8}

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

3 x^{3} = 3 \frac{367}{8}

Calculate

x = 3 \frac{367}{8}

Solution

More Steps

Evaluate

3 \frac{367}{8}

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

\frac{3 367}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 367}{2}

x = \frac{3 367}{2}

Alternative Form

x \approx 3.579799

Show Solution