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Solve for $t$ . $\newline$ $|-4t| = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $t =$ _ or $t =$ _

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Solve absolute value equations

Full solution

Q. Solve for

t

.

\newline

|-4t| = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

t =

_____ or

t =

_____

Given Equation Analysis: We are given the equation $|-4t| = 0$ . The absolute value of any number is non-negative, and the only number whose absolute value is $0$ is $0$ itself. Therefore, we can conclude that $-4t$ must be equal to $0$ .
Dividing by $-4$ : To find the value of $t$ , we divide both sides of the equation by $-4$ . $\frac{-4t}{-4} = \frac{0}{-4}$ $t = 0$
Final Solution: Since the absolute value of a number and its negative are the same, and we have found that $t = 0$ , there is no need to consider a negative solution for $t$ . The absolute value of $0$ is $0$ , and $-0$ is the same as $0$ .

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