Solve 8j^6j-5j-9j

Question

Simplify the expression

8 j^{7} - 14 j

Evaluate

8 j^{6} \times j - 5 j - 9 j

Multiply

More Steps

Multiply the terms

8 j^{6} \times j

Multiply the terms with the same base by adding their exponents

8 j^{6 + 1}

Add the numbers

8 j^{7}

8 j^{7} - 5 j - 9 j

Solution

More Steps

Evaluate

- 5 j - 9 j

Collect like terms by calculating the sum or difference of their coefficients

(- 5 - 9) j

Subtract the numbers

- 14 j

8 j^{7} - 14 j

Show Solution

Factor the expression

2 j (4 j^{6} - 7)

Evaluate

8 j^{6} \times j - 5 j - 9 j

Multiply

More Steps

Multiply the terms

8 j^{6} \times j

Multiply the terms with the same base by adding their exponents

8 j^{6 + 1}

Add the numbers

8 j^{7}

8 j^{7} - 5 j - 9 j

Subtract the terms

More Steps

Evaluate

- 5 j - 9 j

Collect like terms by calculating the sum or difference of their coefficients

(- 5 - 9) j

Subtract the numbers

- 14 j

8 j^{7} - 14 j

Rewrite the expression

2 j \times 4 j^{6} - 2 j \times 7

Solution

2 j (4 j^{6} - 7)

Show Solution

Find the roots

j_{1} = - \frac{6 112}{2}, j_{2} = 0, j_{3} = \frac{6 112}{2}

Alternative Form

j_{1} \approx - 1.097757, j_{2} = 0, j_{3} \approx 1.097757

Evaluate

8 j^{6} \times j - 5 j - 9 j

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

8 j^{6} \times j - 5 j - 9 j = 0

Multiply

More Steps

Multiply the terms

8 j^{6} \times j

Multiply the terms with the same base by adding their exponents

8 j^{6 + 1}

Add the numbers

8 j^{7}

8 j^{7} - 5 j - 9 j = 0

Subtract the terms

More Steps

Simplify

8 j^{7} - 5 j - 9 j

Subtract the terms

More Steps

Evaluate

- 5 j - 9 j

Collect like terms by calculating the sum or difference of their coefficients

(- 5 - 9) j

Subtract the numbers

- 14 j

8 j^{7} - 14 j

8 j^{7} - 14 j = 0

Factor the expression

2 j (4 j^{6} - 7) = 0

Divide both sides

j (4 j^{6} - 7) = 0

Separate the equation into 2 possible cases

j = 0 4 j^{6} - 7 = 0

Solve the equation

More Steps

Evaluate

4 j^{6} - 7 = 0

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

4 j^{6} = 0 + 7

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

4 j^{6} = 7

Divide both sides

\frac{4 j ^{6}}{4} = \frac{7}{4}

Divide the numbers

j^{6} = \frac{7}{4}

Take the root of both sides of the equation and remember to use both positive and negative roots

j = \pm 6 \frac{7}{4}

Simplify the expression

More Steps

Evaluate

6 \frac{7}{4}

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

\frac{6 7}{6 4}

Simplify the radical expression

\frac{6 7}{3 2}

Multiply by the Conjugate

\frac{6 7 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{6 7 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

\frac{6 112}{3 2 \times 3 2 ^{2}}

Multiply the numbers

\frac{6 112}{2}

j = \pm \frac{6 112}{2}

Separate the equation into 2 possible cases

j = \frac{6 112}{2} j = - \frac{6 112}{2}

j = 0 j = \frac{6 112}{2} j = - \frac{6 112}{2}

Solution

j_{1} = - \frac{6 112}{2}, j_{2} = 0, j_{3} = \frac{6 112}{2}

Alternative Form

j_{1} \approx - 1.097757, j_{2} = 0, j_{3} \approx 1.097757

Show Solution