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Simplifying -5x2 + 50x + -127 = 0 Reorder the terms: -127 + 50x + -5x2 = 0 Solving -127 + 50x + -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'. 25.4 + -10x + x2 = 0 Move the constant term to the right: Add '-25.4' to each side of the equation. 25.4 + -10x + -25.4 + x2 = 0 + -25.4 Reorder the terms: 25.4 + -25.4 + -10x + x2 = 0 + -25.4 Combine like terms: 25.4 + -25.4 = 0.0 0.0 + -10x + x2 = 0 + -25.4 -10x + x2 = 0 + -25.4 Combine like terms: 0 + -25.4 = -25.4 -10x + x2 = -25.4 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -25.4 + 25 Reorder the terms: 25 + -10x + x2 = -25.4 + 25 Combine like terms: -25.4 + 25 = -0.4 25 + -10x + x2 = -0.4 Factor a perfect square on the left side: (x + -5)(x + -5) = -0.4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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