Solve for a (6a+2)(8a+7)=0

$(6 a + 2) (8 a + 7) = 0$

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

$6 a + 2 = 0$

$8 a + 7 = 0$

Set $6 a + 2$ equal to $0$ and solve for $a$ .

Set $6 a + 2$ equal to $0$ .

$6 a + 2 = 0$

Solve $6 a + 2 = 0$ for $a$ .

Subtract $2$ from both sides of the equation.

$6 a = - 2$

Divide each term in $6 a = - 2$ by $6$ and simplify.

Divide each term in $6 a = - 2$ by $6$ .

$\frac{6 a}{6} = \frac{- 2}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 a}{6} = \frac{- 2}{6}$

Divide $a$ by $1$ .

$a = \frac{- 2}{6}$

Simplify the right side.

Cancel the common factor of $- 2$ and $6$ .

Factor $2$ out of $- 2$ .

$a = \frac{2 (- 1)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$a = \frac{2 \cdot - 1}{2 \cdot 3}$

Cancel the common factor.

$a = \frac{2 \cdot - 1}{2 \cdot 3}$

Rewrite the expression.

$a = \frac{- 1}{3}$

Move the negative in front of the fraction.

$a = - \frac{1}{3}$

Set $8 a + 7$ equal to $0$ and solve for $a$ .

Set $8 a + 7$ equal to $0$ .

$8 a + 7 = 0$

Solve $8 a + 7 = 0$ for $a$ .

Subtract $7$ from both sides of the equation.

$8 a = - 7$

Divide each term in $8 a = - 7$ by $8$ and simplify.

Divide each term in $8 a = - 7$ by $8$ .

$\frac{8 a}{8} = \frac{- 7}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 a}{8} = \frac{- 7}{8}$

Divide $a$ by $1$ .

$a = \frac{- 7}{8}$

Simplify the right side.

Move the negative in front of the fraction.

$a = - \frac{7}{8}$

The final solution is all the values that make $(6 a + 2) (8 a + 7) = 0$ true.

$a = - \frac{1}{3}, - \frac{7}{8}$

The result can be shown in multiple forms.

Exact Form:

$a = - \frac{1}{3}, - \frac{7}{8}$

Decimal Form:

$a = - 0.\overline{3}, - 0.875$

Solve for a (6a+2)(8a+7)=0

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