Trigonometry Examples

$- x + 2 y - 3 z + 6 = 0$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Tap for more steps...

Step 1.1

Subtract $2 y$ from both sides of the equation.

$- x - 3 z + 6 = - 2 y$

Step 1.2

Add $3 z$ to both sides of the equation.

$- x + 6 = - 2 y + 3 z$

Step 1.3

Subtract $6$ from both sides of the equation.

$- x = - 2 y + 3 z - 6$

Step 2

Divide each term in $- x = - 2 y + 3 z - 6$ by $- 1$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $- x = - 2 y + 3 z - 6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 2 y}{- 1} + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 2 y}{- 1} + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.2.2

Divide $x$ by $1$ .

$x = \frac{- 2 y}{- 1} + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Simplify each term.

Tap for more steps...

Step 2.3.1.1

Move the negative one from the denominator of $\frac{- 2 y}{- 1}$ .

$x = - 1 \cdot (- 2 y) + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.3.1.2

Rewrite $- 1 \cdot (- 2 y)$ as $- (- 2 y)$ .

$x = - (- 2 y) + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.3.1.3

Multiply $- 2$ by $- 1$ .

$x = 2 y + \frac{3 z}{- 1} + \frac{- 6}{- 1}$

Step 2.3.1.4

Move the negative one from the denominator of $\frac{3 z}{- 1}$ .

$x = 2 y - 1 \cdot (3 z) + \frac{- 6}{- 1}$

Step 2.3.1.5

Rewrite $- 1 \cdot (3 z)$ as $- (3 z)$ .

$x = 2 y - (3 z) + \frac{- 6}{- 1}$

Step 2.3.1.6

Multiply $3$ by $- 1$ .

$x = 2 y - 3 z + \frac{- 6}{- 1}$

Step 2.3.1.7

Divide $- 6$ by $- 1$ .

$x = 2 y - 3 z + 6$