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Simplifying -4(x2 + -5x + 6.25) + -2.25 = 0 Reorder the terms: -4(6.25 + -5x + x2) + -2.25 = 0 (6.25 * -4 + -5x * -4 + x2 * -4) + -2.25 = 0 (-25 + 20x + -4x2) + -2.25 = 0 Reorder the terms: -25 + -2.25 + 20x + -4x2 = 0 Combine like terms: -25 + -2.25 = -27.25 -27.25 + 20x + -4x2 = 0 Solving -27.25 + 20x + -4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 6.8125 + -5x + x2 = 0 Move the constant term to the right: Add '-6.8125' to each side of the equation. 6.8125 + -5x + -6.8125 + x2 = 0 + -6.8125 Reorder the terms: 6.8125 + -6.8125 + -5x + x2 = 0 + -6.8125 Combine like terms: 6.8125 + -6.8125 = 0.0000 0.0000 + -5x + x2 = 0 + -6.8125 -5x + x2 = 0 + -6.8125 Combine like terms: 0 + -6.8125 = -6.8125 -5x + x2 = -6.8125 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -6.8125 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -6.8125 + 6.25 Combine like terms: -6.8125 + 6.25 = -0.5625 6.25 + -5x + x2 = -0.5625 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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