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Simplifying -2x2 + 6x + -4 = 1.5 Reorder the terms: -4 + 6x + -2x2 = 1.5 Solving -4 + 6x + -2x2 = 1.5 Solving for variable 'x'. Reorder the terms: -4 + -1.5 + 6x + -2x2 = 1.5 + -1.5 Combine like terms: -4 + -1.5 = -5.5 -5.5 + 6x + -2x2 = 1.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 -5.5 + 6x + -2x2 = 0.0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 2.75 + -3x + x2 = 0.0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -3x + -2.75 + x2 = 0.0 + -2.75 Reorder the terms: 2.75 + -2.75 + -3x + x2 = 0.0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -3x + x2 = 0.0 + -2.75 -3x + x2 = 0.0 + -2.75 Combine like terms: 0.0 + -2.75 = -2.75 -3x + x2 = -2.75 The x term is -3x. 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. -3x + 2.25 + x2 = -2.75 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.75 + 2.25 Combine like terms: -2.75 + 2.25 = -0.5 2.25 + -3x + x2 = -0.5 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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