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Simplifying 0.6297x2 + 0.65x = -10.8375 Reorder the terms: 0.65x + 0.6297x2 = -10.8375 Solving 0.65x + 0.6297x2 = -10.8375 Solving for variable 'x'. Reorder the terms: 10.8375 + 0.65x + 0.6297x2 = -10.8375 + 10.8375 Combine like terms: -10.8375 + 10.8375 = 0.0000 10.8375 + 0.65x + 0.6297x2 = 0.0000 Begin completing the square. Divide all terms by 0.6297 the coefficient of the squared term: Divide each side by '0.6297'. 17.21057646 + 1.032237573x + x2 = 0 Move the constant term to the right: Add '-17.21057646' to each side of the equation. 17.21057646 + 1.032237573x + -17.21057646 + x2 = 0 + -17.21057646 Reorder the terms: 17.21057646 + -17.21057646 + 1.032237573x + x2 = 0 + -17.21057646 Combine like terms: 17.21057646 + -17.21057646 = 0.00000000 0.00000000 + 1.032237573x + x2 = 0 + -17.21057646 1.032237573x + x2 = 0 + -17.21057646 Combine like terms: 0 + -17.21057646 = -17.21057646 1.032237573x + x2 = -17.21057646 The x term is 1.032237573x. Take half its coefficient (0.5161187865). Square it (0.2663786018) and add it to both sides. Add '0.2663786018' to each side of the equation. 1.032237573x + 0.2663786018 + x2 = -17.21057646 + 0.2663786018 Reorder the terms: 0.2663786018 + 1.032237573x + x2 = -17.21057646 + 0.2663786018 Combine like terms: -17.21057646 + 0.2663786018 = -16.9441978582 0.2663786018 + 1.032237573x + x2 = -16.9441978582 Factor a perfect square on the left side: (x + 0.5161187865)(x + 0.5161187865) = -16.9441978582 Can't calculate square root of the right side. The solution to this equation could not be determined.
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