\(x = -\frac{40}{2 \times -2} = \frac{40}{4} = 10\)
["# Solving the Equation ( x = -\frac{40}{2 \ imes -2} = \frac{40}{4} = 10 ): A Step-by-Step Guide", "Understanding how to simplifying and solving linear equations is fundamental in algebra. One clear example is solving for ( x ) in the equation:", "[\nx = -\frac{40}{2 \ imes -2} = \frac{40}{4} = 10\n]", "This equation may look complex at first glance, but breaking it down step-by-step reveals its elegant simplicity.", "## Step 1: Analyze the Fraction", "Start by examining the left-hand side expression:", "[\nx = -\frac{40}{2 \ imes -2}\n]", "Focus first on the denominator:\nCalculate ( 2 \ imes -2 ), which equals (-4):", "[\nx = -\frac{40}{-4}\n]", "## Step 2: Simplify the Division", "Dividing a negative by a negative yields a positive:", "[\nx = \frac{40}{4}\n]", "Simplifying this fraction gives:", "[\nx = 10\n]", "## Step 3: Final Interpretation", "Thus,\n[\nx = -\frac{40}{2 \ imes -2} = \frac{40}{4} = 10\n]\nconfirms that the solution to the equation is ( x = 10 ), a clean and exact value.", "## Why This Equation Matters in Algebra", "This example elegantly demonstrates key algebraic principles:\n- Order of operations (PEMDAS/BODMAS)\n- Signs in division and fractions\n- Simplification of expressions", "Mastering such stepwise simplifications strengthens problem-solving skills applicable in higher-level math and real-world applications.", "---", "## Summary Keywords for SEO:", "- Solving linear equations\n- Algebra simplification\n- Step-by-step equation solving\n- How to simplify ( x = -\frac{40}{2 \ imes -2} )\n- Fraction division with negative numbers\n- Algebra practice problems\n- Evaluating ( x = 10 ) clearly explained\n- Mathematics education resources", "Optimize this content by integrating these keywords naturally, creating a clear, informative, and searchable SEO article for students and learners mastering basic algebra."]
