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Simplifying 4x2 + -51x = -210 Reorder the terms: -51x + 4x2 = -210 Solving -51x + 4x2 = -210 Solving for variable 'x'. Reorder the terms: 210 + -51x + 4x2 = -210 + 210 Combine like terms: -210 + 210 = 0 210 + -51x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 52.5 + -12.75x + x2 = 0 Move the constant term to the right: Add '-52.5' to each side of the equation. 52.5 + -12.75x + -52.5 + x2 = 0 + -52.5 Reorder the terms: 52.5 + -52.5 + -12.75x + x2 = 0 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + -12.75x + x2 = 0 + -52.5 -12.75x + x2 = 0 + -52.5 Combine like terms: 0 + -52.5 = -52.5 -12.75x + x2 = -52.5 The x term is -12.75x. Take half its coefficient (-6.375). Square it (40.640625) and add it to both sides. Add '40.640625' to each side of the equation. -12.75x + 40.640625 + x2 = -52.5 + 40.640625 Reorder the terms: 40.640625 + -12.75x + x2 = -52.5 + 40.640625 Combine like terms: -52.5 + 40.640625 = -11.859375 40.640625 + -12.75x + x2 = -11.859375 Factor a perfect square on the left side: (x + -6.375)(x + -6.375) = -11.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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