Algebra Examples

$3 y = 20 - \sqrt{2 x}$

Step 1

Divide each term in $3 y = 20 - \sqrt{2 x}$ by $3$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $3 y = 20 - \sqrt{2 x}$ by $3$ .

$\frac{3 y}{3} = \frac{20}{3} + \frac{- \sqrt{2 x}}{3}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{3 y}{3} = \frac{20}{3} + \frac{- \sqrt{2 x}}{3}$

Step 1.2.1.2

Divide $y$ by $1$ .

$y = \frac{20}{3} + \frac{- \sqrt{2 x}}{3}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Move the negative in front of the fraction.

$y = \frac{20}{3} - \frac{\sqrt{2 x}}{3}$

Step 2

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$y = a x^{2} + b x + c$

Step 3

Reorder terms.

$y = \frac{20}{3} - (\frac{1}{3} \cdot \sqrt{2 x})$

Step 4

Remove parentheses.

$y = \frac{20}{3} - \frac{1}{3} \cdot \sqrt{2 x}$

Step 5