Solve 4(3j (-4))-9

Question

Simplify the expression

- 48 j - 9

Evaluate

4 (3 j (- 4)) - 9

Remove the parentheses

4 \times 3 j (- 4) - 9

Solution

More Steps

Evaluate

4 \times 3 j (- 4)

Rewrite the expression

- 4 \times 3 j \times 4

Multiply the terms

More Steps

Evaluate

4 \times 3 \times 4

Multiply the terms

12 \times 4

Multiply the numbers

48

- 48 j

- 48 j - 9

Show Solution

Factor the expression

- 3 (16 j + 3)

Evaluate

4 (3 j (- 4)) - 9

Remove the parentheses

4 \times 3 j (- 4) - 9

Multiply

More Steps

Multiply the terms

3 j (- 4)

Rewrite the expression

- 3 j \times 4

Multiply the terms

- 12 j

4 (- 12 j) - 9

Multiply the numbers

More Steps

Evaluate

4 (- 12)

Multiplying or dividing an odd number of negative terms equals a negative

- 4 \times 12

Multiply the numbers

- 48

Evaluate

- 48 j

- 48 j - 9

Solution

- 3 (16 j + 3)

Show Solution

Find the roots

j = - \frac{3}{16}

Alternative Form

j = - 0.1875

Evaluate

4 (3 j (- 4)) - 9

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

4 (3 j (- 4)) - 9 = 0

Multiply

More Steps

Multiply the terms

3 j (- 4)

Rewrite the expression

- 3 j \times 4

Multiply the terms

- 12 j

4 (- 12 j) - 9 = 0

Multiply the numbers

More Steps

Evaluate

4 (- 12)

Multiplying or dividing an odd number of negative terms equals a negative

- 4 \times 12

Multiply the numbers

- 48

- 48 j - 9 = 0

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

- 48 j = 0 + 9

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

- 48 j = 9

Change the signs on both sides of the equation

48 j = - 9

Divide both sides

\frac{48 j}{48} = \frac{- 9}{48}

Divide the numbers

j = \frac{- 9}{48}

Solution

More Steps

Evaluate

\frac{- 9}{48}

Cancel out the common factor 3

\frac{- 3}{16}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{3}{16}

j = - \frac{3}{16}

Alternative Form

j = - 0.1875

Show Solution