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Simplifying s2 + 16s + 100 = 0 Reorder the terms: 100 + 16s + s2 = 0 Solving 100 + 16s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 16s + -100 + s2 = 0 + -100 Reorder the terms: 100 + -100 + 16s + s2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 16s + s2 = 0 + -100 16s + s2 = 0 + -100 Combine like terms: 0 + -100 = -100 16s + s2 = -100 The s term is 16s. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16s + 64 + s2 = -100 + 64 Reorder the terms: 64 + 16s + s2 = -100 + 64 Combine like terms: -100 + 64 = -36 64 + 16s + s2 = -36 Factor a perfect square on the left side: (s + 8)(s + 8) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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