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Simplifying 4s2 + -12s + 19 = 0 Reorder the terms: 19 + -12s + 4s2 = 0 Solving 19 + -12s + 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'. 4.75 + -3s + s2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + -3s + -4.75 + s2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + -3s + s2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + -3s + s2 = 0 + -4.75 -3s + s2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 -3s + s2 = -4.75 The s term is -3s. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3s + 2.25 + s2 = -4.75 + 2.25 Reorder the terms: 2.25 + -3s + s2 = -4.75 + 2.25 Combine like terms: -4.75 + 2.25 = -2.5 2.25 + -3s + s2 = -2.5 Factor a perfect square on the left side: (s + -1.5)(s + -1.5) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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