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Simplifying -2x2 + 8.5x = 25 Reorder the terms: 8.5x + -2x2 = 25 Solving 8.5x + -2x2 = 25 Solving for variable 'x'. Reorder the terms: -25 + 8.5x + -2x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 8.5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 12.5 + -4.25x + x2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + -4.25x + -12.5 + x2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + -4.25x + x2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -4.25x + x2 = 0 + -12.5 -4.25x + x2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 -4.25x + x2 = -12.5 The x term is -4.25x. Take half its coefficient (-2.125). Square it (4.515625) and add it to both sides. Add '4.515625' to each side of the equation. -4.25x + 4.515625 + x2 = -12.5 + 4.515625 Reorder the terms: 4.515625 + -4.25x + x2 = -12.5 + 4.515625 Combine like terms: -12.5 + 4.515625 = -7.984375 4.515625 + -4.25x + x2 = -7.984375 Factor a perfect square on the left side: (x + -2.125)(x + -2.125) = -7.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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