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Simplifying (10s2 + -5s + 14) + (13s + -7) = 0 Reorder the terms: (14 + -5s + 10s2) + (13s + -7) = 0 Remove parenthesis around (14 + -5s + 10s2) 14 + -5s + 10s2 + (13s + -7) = 0 Reorder the terms: 14 + -5s + 10s2 + (-7 + 13s) = 0 Remove parenthesis around (-7 + 13s) 14 + -5s + 10s2 + -7 + 13s = 0 Reorder the terms: 14 + -7 + -5s + 13s + 10s2 = 0 Combine like terms: 14 + -7 = 7 7 + -5s + 13s + 10s2 = 0 Combine like terms: -5s + 13s = 8s 7 + 8s + 10s2 = 0 Solving 7 + 8s + 10s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.7 + 0.8s + s2 = 0 Move the constant term to the right: Add '-0.7' to each side of the equation. 0.7 + 0.8s + -0.7 + s2 = 0 + -0.7 Reorder the terms: 0.7 + -0.7 + 0.8s + s2 = 0 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.8s + s2 = 0 + -0.7 0.8s + s2 = 0 + -0.7 Combine like terms: 0 + -0.7 = -0.7 0.8s + s2 = -0.7 The s term is 0.8s. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8s + 0.16 + s2 = -0.7 + 0.16 Reorder the terms: 0.16 + 0.8s + s2 = -0.7 + 0.16 Combine like terms: -0.7 + 0.16 = -0.54 0.16 + 0.8s + s2 = -0.54 Factor a perfect square on the left side: (s + 0.4)(s + 0.4) = -0.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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