Solve for d square root of 6-15x=5x+d

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

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

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

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

Rewrite.

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

Simplify by adding zeros.

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

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

Factor $3$ out of $6$ .

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

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

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

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

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

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

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