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Solve the equation for x.
(x-6)(x+7)=0
Select all that apply.
(A) 7
(B) -7
(C) 6
(D) -6

Solve the equation for $x$ . $\newline$ $(x-6)(x+7)=0$ $\newline$ Select all that apply. $\newline$ (A) $7$ $\newline$ (B) $-7$ $\newline$ (C) $6$ $\newline$ (D) $-6$

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Solve quadratic inequalities

Full solution

Q. Solve the equation for

x

.

\newline

(x-6)(x+7)=0

\newline

Select all that apply.

\newline

(A)

7

\newline

(B)

-7

\newline

(C)

6

\newline

(D)

-6

Identify Solutions: Identify the solutions by setting each factor equal to zero. $\newline$ $(x-6)(x+7)=0$ can be broken down into three separate equations: $\newline$ $1$ . $x - 6 = 0$ $\newline$ $2$ . $x + 7 = 0$ $\newline$
Solve First Equation: Solve the first equation $x - 6 = 0$ . $\newline$ Adding $6$ to both sides of the equation gives us $x = 6$ .
Solve Second Equation: Solve the second equation $x + 7 = 0$ . Subtracting $7$ from both sides of the equation gives us $x = -7$ .
Combine Solutions: Combine all the solutions. $\newline$ The solutions to the equation $(x-6)(x+7)=0$ are $x = 6$ , and $x = -7$ .

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