Solve for d (2-4d)(2+4d)=0

$(2 - 4 d) (2 + 4 d) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$2 - 4 d = 0$

$2 + 4 d = 0$

Set $2 - 4 d$ equal to $0$ and solve for $d$ .

Set $2 - 4 d$ equal to $0$ .

$2 - 4 d = 0$

Solve $2 - 4 d = 0$ for $d$ .

Subtract $2$ from both sides of the equation.

$- 4 d = - 2$

Divide each term in $- 4 d = - 2$ by $- 4$ and simplify.

Divide each term in $- 4 d = - 2$ by $- 4$ .

$\frac{- 4 d}{- 4} = \frac{- 2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 d}{- 4} = \frac{- 2}{- 4}$

Divide $d$ by $1$ .

$d = \frac{- 2}{- 4}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 4$ .

Factor $- 2$ out of $- 2$ .

$d = \frac{- 2 (1)}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$d = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Cancel the common factor.

$d = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Rewrite the expression.

$d = \frac{1}{2}$

Set $2 + 4 d$ equal to $0$ and solve for $d$ .

Set $2 + 4 d$ equal to $0$ .

$2 + 4 d = 0$

Solve $2 + 4 d = 0$ for $d$ .

Subtract $2$ from both sides of the equation.

$4 d = - 2$

Divide each term in $4 d = - 2$ by $4$ and simplify.

Divide each term in $4 d = - 2$ by $4$ .

$\frac{4 d}{4} = \frac{- 2}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 d}{4} = \frac{- 2}{4}$

Divide $d$ by $1$ .

$d = \frac{- 2}{4}$

Simplify the right side.

Cancel the common factor of $- 2$ and $4$ .

Factor $2$ out of $- 2$ .

$d = \frac{2 (- 1)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$d = \frac{2 \cdot - 1}{2 \cdot 2}$

Cancel the common factor.

$d = \frac{2 \cdot - 1}{2 \cdot 2}$

Rewrite the expression.

$d = \frac{- 1}{2}$

Move the negative in front of the fraction.

$d = - \frac{1}{2}$

The final solution is all the values that make $(2 - 4 d) (2 + 4 d) = 0$ true.

$d = \frac{1}{2}, - \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$d = \frac{1}{2}, - \frac{1}{2}$

Decimal Form:

$d = 0.5, - 0.5$

Solve for d (2-4d)(2+4d)=0

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