Solve 72x^2 12x-12

Question

Simplify the expression

864 x^{3} - 12

Evaluate

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

Solution

More Steps

Evaluate

72 x^{2} \times 12 x

Multiply the terms

864 x^{2} \times x

Multiply the terms with the same base by adding their exponents

864 x^{2 + 1}

Add the numbers

864 x^{3}

864 x^{3} - 12

Show Solution

Factor the expression

12 (72 x^{3} - 1)

Evaluate

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

Multiply

More Steps

Evaluate

72 x^{2} \times 12 x

Multiply the terms

864 x^{2} \times x

Multiply the terms with the same base by adding their exponents

864 x^{2 + 1}

Add the numbers

864 x^{3}

864 x^{3} - 12

Solution

12 (72 x^{3} - 1)

Show Solution

Find the roots

x = \frac{3 3}{6}

Alternative Form

x \approx 0.240375

Evaluate

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

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

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

Multiply

More Steps

Multiply the terms

72 x^{2} \times 12 x

Multiply the terms

864 x^{2} \times x

Multiply the terms with the same base by adding their exponents

864 x^{2 + 1}

Add the numbers

864 x^{3}

864 x^{3} - 12 = 0

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

864 x^{3} = 0 + 12

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

864 x^{3} = 12

Divide both sides

\frac{864 x ^{3}}{864} = \frac{12}{864}

Divide the numbers

x^{3} = \frac{12}{864}

Cancel out the common factor 12

x^{3} = \frac{1}{72}

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

3 x^{3} = 3 \frac{1}{72}

Calculate

x = 3 \frac{1}{72}

Solution

More Steps

Evaluate

3 \frac{1}{72}

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

\frac{3 1}{3 72}

Simplify the radical expression

\frac{1}{3 72}

Simplify the radical expression

More Steps

Evaluate

372

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 9

Write the number in exponential form with the base of 2

3 2^{3} \times 9

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 39

Reduce the index of the radical and exponent with 3

239

\frac{1}{2 3 9}

Multiply by the Conjugate

\frac{3 9 ^{2}}{2 3 9 \times 3 9 ^{2}}

Simplify

\frac{3 3 3}{2 3 9 \times 3 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

239 \times 3 9^{2}

Multiply the terms

2 \times 3^{2}

Multiply the terms

18

\frac{3 3 3}{18}

Cancel out the common factor 3

\frac{3 3}{6}

x = \frac{3 3}{6}

Alternative Form

x \approx 0.240375

Show Solution