Basic Math Examples

$5 z - 2 = 5 (z - 1)$

Step 1

Simplify $5 (z - 1)$ .

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Step 1.1

Rewrite.

$5 z - 2 = 0 + 0 + 5 (z - 1)$

Step 1.2

Simplify by adding zeros.

$5 z - 2 = 5 (z - 1)$

Step 1.3

Apply the distributive property.

$5 z - 2 = 5 z + 5 \cdot - 1$

Step 1.4

Multiply $5$ by $- 1$ .

$5 z - 2 = 5 z - 5$

Step 2

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

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Step 2.1

Subtract $5 z$ from both sides of the equation.

$5 z - 2 - 5 z = - 5$

Step 2.2

Combine the opposite terms in $5 z - 2 - 5 z$ .

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Step 2.2.1

Subtract $5 z$ from $5 z$ .

$0 - 2 = - 5$

Step 2.2.2

Subtract $2$ from $0$ .

$- 2 = - 5$

Step 3

Since $- 2 \neq - 5$ , there are no solutions.

No solution