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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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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 $c$ : $\newline$ $10 = -(c + 15)$ $0$

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\newline

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Question

\$200

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\newline

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