Evaluate (d^2)y=0

$(d^{2}) y = 0$

Divide each term in $d^{2} y = 0$ by $y$ and simplify.

Divide each term in $d^{2} y = 0$ by $y$ .

$\frac{d^{2} y}{y} = \frac{0}{y}$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{d^{2} y}{y} = \frac{0}{y}$

Divide $d^{2}$ by $1$ .

$d^{2} = \frac{0}{y}$

Simplify the right side.

Divide $0$ by $y$ .

$d^{2} = 0$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$d = \pm \sqrt{0}$

Simplify $\pm \sqrt{0}$ .

Rewrite $0$ as $0^{2}$ .

$d = \pm \sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$d = \pm 0$

Plus or minus $0$ is $0$ .

$d = 0$