<p>This study introduces an effective and practical formulation for estimating homogeneous slopes’ safety factors (FoS). The proposed equation establishes a direct and explicit relationship between the FoS and key geotechnical and geometrical parameters (cohesion, angle of internal friction, unit weight of soil, slope height, and slope angle). Traditional approaches such as Finite Element Analysis, Limit Equilibrium Analysis, and Limit Analysis Method require iterative computations, graphical solutions, and specialized software tools for calculating slope stability factors. However, the developed method utilizes a simple quadratic equation, which significantly reduces computational effort and technical complexity. The main advantage of the proposed framework compared with the traditional approaches is its effectiveness and simplicity. Three illustrative examples are taken from previous journals to validate the method’s effectiveness and reliability. The effectiveness analysis demonstrates a close agreement between outcomes from the conventional approaches and the proposed framework. These comparative analyses confirm the accuracy and consistency of the framework, reinforcing its potential as a reliable alternative for early-stage slope stability evaluation. Overall, this study contributes to slope stability by offering a simple yet effective tool that bridges the gap between rigorous numerical modelling and the need for rapid, practical decision-making solutions.</p>