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In Mathematics / High School | 2025-07-03

Solve for $f$.
$2=-2 f+-2.8$

Asked by liviiiiiiii

Answer (2)

Add 2.8 to both sides of the equation: 2 + 2.8 = − 2 f − 2.8 + 2.8 , which simplifies to 4.8 = − 2 f .
Divide both sides of the equation by -2: − 2 4.8 ​ = − 2 − 2 f ​ .
Simplify to find f = − 2.4 .
The solution to the equation is − 2.4 ​ .

Explanation

Understanding the Problem We are given the equation 2 = − 2 f − 2.8 and our goal is to isolate f on one side of the equation.

Isolating the Term with f First, we add 2.8 to both sides of the equation to get rid of the constant term on the right side: 2 + 2.8 = − 2 f − 2.8 + 2.8 4.8 = − 2 f

Solving for f Next, we divide both sides of the equation by − 2 to solve for f :
− 2 4.8 ​ = − 2 − 2 f ​ − 2.4 = f

Final Answer Therefore, the solution is f = − 2.4 .


Examples
In physics, this type of equation can be used to find the force applied to an object. For example, if the equation represents the relationship between force, acceleration, and mass, solving for 'f' (force) helps determine the specific force value given other parameters. Understanding how to manipulate and solve such equations is crucial for analyzing physical systems and predicting their behavior.

Answered by GinnyAnswer | 2025-07-03

To solve the equation 2 = − 2 f − 2.8 , we first add 2.8 to both sides to get 4.8 = − 2 f . Next, we divide both sides by − 2 to find f = − 2.4 . Therefore, the answer is f = − 2.4 .
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Answered by Anonymous | 2025-07-04