Algebra Examples

5 (\frac{4}{5} j + 2) = 3 - 6 j

$5 (\frac{4}{5} j + 2) = 3 - 6 j$

Step 1

Simplify

5 (\frac{4}{5} j + 2)

$5 (\frac{4}{5} j + 2)$ .

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Step 1.1

Rewrite.

0 + 0 + 5 (\frac{4}{5} j + 2) = 3 - 6 j

$0 + 0 + 5 (\frac{4}{5} j + 2) = 3 - 6 j$

Step 1.2

Simplify by adding zeros.

5 (\frac{4}{5} j + 2) = 3 - 6 j

$5 (\frac{4}{5} j + 2) = 3 - 6 j$

Step 1.3

Combine

\frac{4}{5}

$\frac{4}{5}$ and

j

$j$ .

5 (\frac{4 j}{5} + 2) = 3 - 6 j

$5 (\frac{4 j}{5} + 2) = 3 - 6 j$

Step 1.4

Apply the distributive property.

5 \frac{4 j}{5} + 5 \cdot 2 = 3 - 6 j

$5 \frac{4 j}{5} + 5 \cdot 2 = 3 - 6 j$

Step 1.5

Cancel the common factor of

5

$5$ .

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Step 1.5.1

Cancel the common factor.

$5 \frac{4 j}{5} + 5 \cdot 2 = 3 - 6 j$

Step 1.5.2

Rewrite the expression.

$4 j + 5 \cdot 2 = 3 - 6 j$

$4 j + 5 \cdot 2 = 3 - 6 j$

Step 1.6

Multiply

$5$ by

$2$ .

$4 j + 10 = 3 - 6 j$

$4 j + 10 = 3 - 6 j$

Step 2

Move all terms containing

$j$ to the left side of the equation.

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Step 2.1

Add

$6 j$ to both sides of the equation.

$4 j + 10 + 6 j = 3$

Step 2.2

Add

$4 j$ and

$6 j$ .

$10 j + 10 = 3$

$10 j + 10 = 3$

Step 3

Move all terms not containing

$j$ to the right side of the equation.

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Step 3.1

Subtract

$10$ from both sides of the equation.

$10 j = 3 - 10$

Step 3.2

Subtract

$10$ from

$3$ .

$10 j = - 7$

$10 j = - 7$

Step 4

Divide each term in

$10 j = - 7$ by

$10$ and simplify.

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Step 4.1

Divide each term in

$10 j = - 7$ by

$10$ .

$\frac{10 j}{10} = \frac{- 7}{10}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of

$10$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{10 j}{10} = \frac{- 7}{10}$

Step 4.2.1.2

Divide

$j$ by

$1$ .

$j = \frac{- 7}{10}$

$j = \frac{- 7}{10}$

$j = \frac{- 7}{10}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$j = - \frac{7}{10}$

$j = - \frac{7}{10}$

$j = - \frac{7}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$j = - \frac{7}{10}$

Decimal Form:

$j = - 0.7$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$