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Simplifying -5x2 + 20x + -21 = 0 Reorder the terms: -21 + 20x + -5x2 = 0 Solving -21 + 20x + -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'. 4.2 + -4x + x2 = 0 Move the constant term to the right: Add '-4.2' to each side of the equation. 4.2 + -4x + -4.2 + x2 = 0 + -4.2 Reorder the terms: 4.2 + -4.2 + -4x + x2 = 0 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -4x + x2 = 0 + -4.2 -4x + x2 = 0 + -4.2 Combine like terms: 0 + -4.2 = -4.2 -4x + x2 = -4.2 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.2 + 4 Reorder the terms: 4 + -4x + x2 = -4.2 + 4 Combine like terms: -4.2 + 4 = -0.2 4 + -4x + x2 = -0.2 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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