Solve for all values of c in simplest form. 10=|c+15| Answer: c=

Given Equation: We are given the equation 10 = |c + 15|. To find the values of c, we need to consider both the positive and negative scenarios of the absolute value.Positive Scenario: First, let's consider the positive scenario where c + 15 is positive or zero. In this case, we can drop the absolute value without changing the sign: 10 = c + 15 Now, we solve for c by subtracting 15 from both sides: c = 10 - 15 c = -5Negative Scenario: Next, let's consider the negative scenario where c + 15 is negative. In this case, the absolute value changes the sign: 10 = -(c + 15) Now, we solve for c by first distributing the negative sign inside the parentheses: 10 = -c - 15 Now, we add 15 to both sides to isolate -c: 10 + 15 = -c 25 = -c Finally, we multiply both sides by -1 to solve for c: c = -25

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Solve for all values of
c in simplest form.

10=|c+15|
Answer:
c=

Solve for all values of $c$ in simplest form. $\newline$ $10=|c+15|$ $\newline$ Answer: $c=$

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Algebra 2

Solve absolute value equations

Full solution

Q. Solve for all values of

c

in simplest form.

\newline

10=|c+15|

\newline

Answer:

c=

Given Equation: We are given the equation $10 = |c + 15|$ . To find the values of $c$ , we need to consider both the positive and negative scenarios of the absolute value.
Positive Scenario: First, let's consider the positive scenario where $c + 15$ is positive or zero. In this case, we can drop the absolute value without changing the sign: $\newline$ $10 = c + 15$ $\newline$ Now, we solve for $c$ by subtracting $15$ from both sides: $\newline$ $c = 10 - 15$ $\newline$ $c = -5$
Negative Scenario: Next, let's consider the negative scenario where $c + 15$ is negative. In this case, the absolute value changes the sign: $\newline$ $10 = -(c + 15)$ $\newline$ Now, we solve for $c$ by first distributing the negative sign inside the parentheses: $\newline$ $10 = -c - 15$ $\newline$ Now, we add $15$ to both sides to isolate $-c$ : $\newline$ $10 + 15 = -c$ $\newline$ $25 = -c$ $\newline$ Finally, we multiply both sides by $-1$ to solve for $c$ : $\newline$ $10 = -(c + 15)$ $0$