Basic Math Examples

$6 (z + 8) = 6 (z - 5)$

Step 1

Simplify $6 (z + 8)$ .

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Step 1.1

Rewrite.

$0 + 0 + 6 (z + 8) = 6 (z - 5)$

Step 1.2

Simplify by adding zeros.

$6 (z + 8) = 6 (z - 5)$

Step 1.3

Apply the distributive property.

$6 z + 6 \cdot 8 = 6 (z - 5)$

Step 1.4

Multiply $6$ by $8$ .

$6 z + 48 = 6 (z - 5)$

$6 z + 48 = 6 (z - 5)$

Step 2

Simplify $6 (z - 5)$ .

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Step 2.1

Apply the distributive property.

$6 z + 48 = 6 z + 6 \cdot - 5$

Step 2.2

Multiply $6$ by $- 5$ .

$6 z + 48 = 6 z - 30$

$6 z + 48 = 6 z - 30$

Step 3

Move all terms containing $z$ to the left side of the equation.

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Step 3.1

Subtract $6 z$ from both sides of the equation.

$6 z + 48 - 6 z = - 30$

Step 3.2

Combine the opposite terms in $6 z + 48 - 6 z$ .

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Step 3.2.1

Subtract $6 z$ from $6 z$ .

$0 + 48 = - 30$

Step 3.2.2

Add $0$ and $48$ .

$48 = - 30$

$48 = - 30$

$48 = - 30$

Step 4

Since $48 \neq - 30$ , there are no solutions.

No solution

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