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Simplifying -2 = 5x2 + -3x + 2 Reorder the terms: -2 = 2 + -3x + 5x2 Solving -2 = 2 + -3x + 5x2 Solving for variable 'x'. Combine like terms: -2 + -2 = -4 -4 + 3x + -5x2 = 2 + -3x + 5x2 + -2 + 3x + -5x2 Reorder the terms: -4 + 3x + -5x2 = 2 + -2 + -3x + 3x + 5x2 + -5x2 Combine like terms: 2 + -2 = 0 -4 + 3x + -5x2 = 0 + -3x + 3x + 5x2 + -5x2 -4 + 3x + -5x2 = -3x + 3x + 5x2 + -5x2 Combine like terms: -3x + 3x = 0 -4 + 3x + -5x2 = 0 + 5x2 + -5x2 -4 + 3x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -4 + 3x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.8 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.6x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.6x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.6x + x2 = 0 + -0.8 -0.6x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.6x + x2 = -0.8 The x term is -0.6x. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6x + 0.09 + x2 = -0.8 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.8 + 0.09 Combine like terms: -0.8 + 0.09 = -0.71 0.09 + -0.6x + x2 = -0.71 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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