Solve 6x^212x-12 - ScanMath

Question

Simplify the expression

72 x^{3} - 12

Evaluate

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

Solution

More Steps

Evaluate

6 x^{2} \times 12 x

Multiply the terms

72 x^{2} \times x

Multiply the terms with the same base by adding their exponents

72 x^{2 + 1}

Add the numbers

72 x^{3}

72 x^{3} - 12

Show Solution

Factor the expression

12 (6 x^{3} - 1)

Evaluate

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

Multiply

More Steps

Evaluate

6 x^{2} \times 12 x

Multiply the terms

72 x^{2} \times x

Multiply the terms with the same base by adding their exponents

72 x^{2 + 1}

Add the numbers

72 x^{3}

72 x^{3} - 12

Solution

12 (6 x^{3} - 1)

Show Solution

Find the roots

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Evaluate

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

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

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

Multiply

More Steps

Multiply the terms

6 x^{2} \times 12 x

Multiply the terms

72 x^{2} \times x

Multiply the terms with the same base by adding their exponents

72 x^{2 + 1}

Add the numbers

72 x^{3}

72 x^{3} - 12 = 0

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

72 x^{3} = 0 + 12

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

72 x^{3} = 12

Divide both sides

\frac{72 x ^{3}}{72} = \frac{12}{72}

Divide the numbers

x^{3} = \frac{12}{72}

Cancel out the common factor 12

x^{3} = \frac{1}{6}

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

3 x^{3} = 3 \frac{1}{6}

Calculate

x = 3 \frac{1}{6}

Solution

More Steps

Evaluate

3 \frac{1}{6}

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

\frac{3 1}{3 6}

Simplify the radical expression

\frac{1}{3 6}

Multiply by the Conjugate

\frac{3 6 ^{2}}{3 6 \times 3 6 ^{2}}

Simplify

\frac{3 36}{3 6 \times 3 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

36 \times 3 6^{2}

The product of roots with the same index is equal to the root of the product

3 6 \times 6^{2}

Calculate the product

3 6^{3}

Reduce the index of the radical and exponent with 3

6

\frac{3 36}{6}

x = \frac{3 36}{6}

Alternative Form

x \approx 0.550321

Show Solution