Algebra Examples

$\sqrt{6 - 15 x} = 5 x + d$

Step 1

Rewrite the equation as $5 x + d = \sqrt{6 - 15 x}$ .

$5 x + d = \sqrt{6 - 15 x}$

Step 2

Simplify $\sqrt{6 - 15 x}$ .

Tap for more steps...

Step 2.1

Rewrite.

$5 x + d = 0 + 0 + \sqrt{6 - 15 x}$

Step 2.2

Simplify by adding zeros.

$5 x + d = \sqrt{6 - 15 x}$

Step 2.3

Factor $3$ out of $6 - 15 x$ .

Tap for more steps...

Step 2.3.1

Factor $3$ out of $6$ .

$5 x + d = \sqrt{3 (2) - 15 x}$

Step 2.3.2

Factor $3$ out of $- 15 x$ .

$5 x + d = \sqrt{3 (2) + 3 (- 5 x)}$

Step 2.3.3

Factor $3$ out of $3 (2) + 3 (- 5 x)$ .

$5 x + d = \sqrt{3 (2 - 5 x)}$

Step 3

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

$d = \sqrt{3 (2 - 5 x)} - 5 x$