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Simplifying 9 + 2x2 = -2x + -6 Reorder the terms: 9 + 2x2 = -6 + -2x Solving 9 + 2x2 = -6 + -2x Solving for variable 'x'. Reorder the terms: 9 + 6 + 2x + 2x2 = -6 + -2x + 6 + 2x Combine like terms: 9 + 6 = 15 15 + 2x + 2x2 = -6 + -2x + 6 + 2x Reorder the terms: 15 + 2x + 2x2 = -6 + 6 + -2x + 2x Combine like terms: -6 + 6 = 0 15 + 2x + 2x2 = 0 + -2x + 2x 15 + 2x + 2x2 = -2x + 2x Combine like terms: -2x + 2x = 0 15 + 2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x + x2 = 0 + -7.5 x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 x + x2 = -7.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -7.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -7.5 + 0.25 Combine like terms: -7.5 + 0.25 = -7.25 1.25 + x2 = -7.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -7.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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