Solve 12x^6 6x-6 - ScanMath

Question

Simplify the expression

72 x^{7} - 6

Evaluate

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

Solution

More Steps

Evaluate

12 x^{6} \times 6 x

Multiply the terms

72 x^{6} \times x

Multiply the terms with the same base by adding their exponents

72 x^{6 + 1}

Add the numbers

72 x^{7}

72 x^{7} - 6

Show Solution

6 (12 x^{7} - 1)

Evaluate

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

Multiply

More Steps

Evaluate

12 x^{6} \times 6 x

Multiply the terms

72 x^{6} \times x

Multiply the terms with the same base by adding their exponents

72 x^{6 + 1}

Add the numbers

72 x^{7}

72 x^{7} - 6

Solution

6 (12 x^{7} - 1)

Show Solution

x = \frac{7 1 2 ^{6}}{12}

Alternative Form

x \approx 0.701183

Evaluate

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

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

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

Multiply

More Steps

Multiply the terms

12 x^{6} \times 6 x

Multiply the terms

72 x^{6} \times x

Multiply the terms with the same base by adding their exponents

72 x^{6 + 1}

Add the numbers

72 x^{7}

72 x^{7} - 6 = 0

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

72 x^{7} = 0 + 6

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

72 x^{7} = 6

Divide both sides

\frac{72 x ^{7}}{72} = \frac{6}{72}

Divide the numbers

x^{7} = \frac{6}{72}

Cancel out the common factor 6

x^{7} = \frac{1}{12}

Take the 7 -th root on both sides of the equation

7 x^{7} = 7 \frac{1}{12}

Calculate

x = 7 \frac{1}{12}

Solution

More Steps

Evaluate

7 \frac{1}{12}

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

\frac{7 1}{7 12}

Simplify the radical expression

\frac{1}{7 12}

Multiply by the Conjugate

\frac{7 1 2 ^{6}}{7 12 \times 7 1 2 ^{6}}

Multiply the numbers

More Steps

Evaluate

712 \times 7 1 2^{6}

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

7 12 \times 1 2^{6}

Calculate the product

7 1 2^{7}

Reduce the index of the radical and exponent with 7

12

\frac{7 1 2 ^{6}}{12}

x = \frac{7 1 2 ^{6}}{12}

Alternative Form

x \approx 0.701183

Show Solution