2(x+55)(x-17)=0 What are the solutions to the given equation? Choose 1 answer: (A) x=-55 and x=17 (B) x=-55,x=-2, and x=17 (c) x=-17 and x=55 (D) x=-17,x=2, and x=55

Apply zero product property: First, we need to apply the zero product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. 2(x+55)(x-17) = 0 We can ignore the 2, as it does not affect the solutions for x. (x+55)(x-17) = 0Set first factor equal to zero: Now, we set each factor equal to zero and solve for x. First factor: x + 55 = 0 Subtract 55 from both sides to solve for x. x + 55 - 55 = 0 - 55 x = -55Set second factor equal to zero: Next, we solve for x using the second factor. Second factor: x - 17 = 0 Add 17 to both sides to solve for x. x - 17 + 17 = 0 + 17 x = 17

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2(x+55)(x-17)=0
What are the solutions to the given equation?
Choose 1 answer:
(A)
x=-55 and
x=17
(B)
x=-55,x=-2, and
x=17
(c)
x=-17 and
x=55
(D)
x=-17,x=2, and
x=55

$2(x+55)(x-17)=0$ $\newline$ What are the solutions to the given equation? $\newline$ Choose $1$ answer: $\newline$ (A) $x=-55$ and $x=17$ $\newline$ (B) $x=-55, x=-2$ , and $x=17$ $\newline$ (C) $x=-17$ and $x=55$ $\newline$ (D) $x=-17, x=2$ , and $x=55$

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Algebra 1

Solve linear equations: mixed review

Full solution

2(x+55)(x-17)=0

\newline

What are the solutions to the given equation?

\newline

Choose

1

answer:

\newline

(A)

x=-55

and

x=17

\newline

(B)

x=-55, x=-2

, and

x=17

\newline

(C)

x=-17

and

x=55

\newline

(D)

x=-17, x=2

, and

x=55

Apply zero product property: First, we need to apply the zero product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. $\newline$ $2(x+55)(x-17) = 0$ $\newline$ We can ignore the $2$ , as it does not affect the solutions for $x$ . $\newline$ $(x+55)(x-17) = 0$
Set first factor equal to zero: Now, we set each factor equal to zero and solve for x. $\newline$ First factor: $x + 55 = 0$ $\newline$ Subtract $55$ from both sides to solve for x. $\newline$ $x + 55 - 55 = 0 - 55$ $\newline$ $x = -55$
Set second factor equal to zero: Next, we solve for x using the second factor. $\newline$ Second factor: $x - 17 = 0$ $\newline$ Add $17$ to both sides to solve for x. $\newline$ $x - 17 + 17 = 0 + 17$ $\newline$ $x = 17$