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Simplifying 64s2 + 60s = -25 Reorder the terms: 60s + 64s2 = -25 Solving 60s + 64s2 = -25 Solving for variable 's'. Reorder the terms: 25 + 60s + 64s2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + 60s + 64s2 = 0 Begin completing the square. Divide all terms by 64 the coefficient of the squared term: Divide each side by '64'. 0.390625 + 0.9375s + s2 = 0 Move the constant term to the right: Add '-0.390625' to each side of the equation. 0.390625 + 0.9375s + -0.390625 + s2 = 0 + -0.390625 Reorder the terms: 0.390625 + -0.390625 + 0.9375s + s2 = 0 + -0.390625 Combine like terms: 0.390625 + -0.390625 = 0.000000 0.000000 + 0.9375s + s2 = 0 + -0.390625 0.9375s + s2 = 0 + -0.390625 Combine like terms: 0 + -0.390625 = -0.390625 0.9375s + s2 = -0.390625 The s term is 0.9375s. Take half its coefficient (0.46875). Square it (0.2197265625) and add it to both sides. Add '0.2197265625' to each side of the equation. 0.9375s + 0.2197265625 + s2 = -0.390625 + 0.2197265625 Reorder the terms: 0.2197265625 + 0.9375s + s2 = -0.390625 + 0.2197265625 Combine like terms: -0.390625 + 0.2197265625 = -0.1708984375 0.2197265625 + 0.9375s + s2 = -0.1708984375 Factor a perfect square on the left side: (s + 0.46875)(s + 0.46875) = -0.1708984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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