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Simplifying 0.8 = 3x + -5x2 Solving 0.8 = 3x + -5x2 Solving for variable 'x'. Reorder the terms: 0.8 + -3x + 5x2 = 3x + -3x + -5x2 + 5x2 Combine like terms: 3x + -3x = 0 0.8 + -3x + 5x2 = 0 + -5x2 + 5x2 0.8 + -3x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 0.8 + -3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.16 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + -0.6x + -0.16 + x2 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + -0.6x + x2 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.6x + x2 = 0 + -0.16 -0.6x + x2 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 -0.6x + x2 = -0.16 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 = -0.16 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.16 + 0.09 Combine like terms: -0.16 + 0.09 = -0.07 0.09 + -0.6x + x2 = -0.07 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.07 Can't calculate square root of the right side. The solution to this equation could not be determined.
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