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Simplifying 4s2 + 25s + 63 = 0 Reorder the terms: 63 + 25s + 4s2 = 0 Solving 63 + 25s + 4s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 15.75 + 6.25s + s2 = 0 Move the constant term to the right: Add '-15.75' to each side of the equation. 15.75 + 6.25s + -15.75 + s2 = 0 + -15.75 Reorder the terms: 15.75 + -15.75 + 6.25s + s2 = 0 + -15.75 Combine like terms: 15.75 + -15.75 = 0.00 0.00 + 6.25s + s2 = 0 + -15.75 6.25s + s2 = 0 + -15.75 Combine like terms: 0 + -15.75 = -15.75 6.25s + s2 = -15.75 The s term is 6.25s. Take half its coefficient (3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. 6.25s + 9.765625 + s2 = -15.75 + 9.765625 Reorder the terms: 9.765625 + 6.25s + s2 = -15.75 + 9.765625 Combine like terms: -15.75 + 9.765625 = -5.984375 9.765625 + 6.25s + s2 = -5.984375 Factor a perfect square on the left side: (s + 3.125)(s + 3.125) = -5.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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