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Simplifying -5x2 + 5.3x + -2.4 = 0 Reorder the terms: -2.4 + 5.3x + -5x2 = 0 Solving -2.4 + 5.3x + -5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.48 + -1.06x + x2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + -1.06x + -0.48 + x2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + -1.06x + x2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -1.06x + x2 = 0 + -0.48 -1.06x + x2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 -1.06x + x2 = -0.48 The x term is -1.06x. Take half its coefficient (-0.53). Square it (0.2809) and add it to both sides. Add '0.2809' to each side of the equation. -1.06x + 0.2809 + x2 = -0.48 + 0.2809 Reorder the terms: 0.2809 + -1.06x + x2 = -0.48 + 0.2809 Combine like terms: -0.48 + 0.2809 = -0.1991 0.2809 + -1.06x + x2 = -0.1991 Factor a perfect square on the left side: (x + -0.53)(x + -0.53) = -0.1991 Can't calculate square root of the right side. The solution to this equation could not be determined.
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