Trigonometry Examples

$2 y + 4 x = 6 y + 4 x$

Step 1

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

Tap for more steps...

Step 1.1

Subtract $4 x$ from both sides of the equation.

$2 y + 4 x - 4 x = 6 y$

Step 1.2

Combine the opposite terms in $2 y + 4 x - 4 x$ .

Tap for more steps...

Step 1.2.1

Subtract $4 x$ from $4 x$ .

$2 y + 0 = 6 y$

Step 1.2.2

Add $2 y$ and $0$ .

$2 y = 6 y$

$2 y = 6 y$

$2 y = 6 y$

Step 2

Divide each term in $2 y = 6 y$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 y = 6 y$ by $2$ .

$\frac{2 y}{2} = \frac{6 y}{2}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} = \frac{6 y}{2}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{6 y}{2}$

$y = \frac{6 y}{2}$

$y = \frac{6 y}{2}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Cancel the common factor of $6$ and $2$ .

Tap for more steps...

Step 2.3.1.1

Factor $2$ out of $6 y$ .

$y = \frac{2 (3 y)}{2}$

Step 2.3.1.2

Cancel the common factors.

Tap for more steps...

Step 2.3.1.2.1

Factor $2$ out of $2$ .

$y = \frac{2 (3 y)}{2 (1)}$

Step 2.3.1.2.2

Cancel the common factor.

$y = \frac{2 (3 y)}{2 \cdot 1}$

Step 2.3.1.2.3

Rewrite the expression.

$y = \frac{3 y}{1}$

Step 2.3.1.2.4

Divide $3 y$ by $1$ .

$y = 3 y$

$y = 3 y$

$y = 3 y$

$y = 3 y$

$y = 3 y$

Step 3

The variable $x$ got canceled.

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$

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