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Simplifying s2 + 15s + 70 = 0 Reorder the terms: 70 + 15s + s2 = 0 Solving 70 + 15s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + 15s + -70 + s2 = 0 + -70 Reorder the terms: 70 + -70 + 15s + s2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 15s + s2 = 0 + -70 15s + s2 = 0 + -70 Combine like terms: 0 + -70 = -70 15s + s2 = -70 The s term is 15s. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15s + 56.25 + s2 = -70 + 56.25 Reorder the terms: 56.25 + 15s + s2 = -70 + 56.25 Combine like terms: -70 + 56.25 = -13.75 56.25 + 15s + s2 = -13.75 Factor a perfect square on the left side: (s + 7.5)(s + 7.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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