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Simplifying 2x2 + -15x = -55 Reorder the terms: -15x + 2x2 = -55 Solving -15x + 2x2 = -55 Solving for variable 'x'. Reorder the terms: 55 + -15x + 2x2 = -55 + 55 Combine like terms: -55 + 55 = 0 55 + -15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 27.5 + -7.5x + x2 = 0 Move the constant term to the right: Add '-27.5' to each side of the equation. 27.5 + -7.5x + -27.5 + x2 = 0 + -27.5 Reorder the terms: 27.5 + -27.5 + -7.5x + x2 = 0 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -7.5x + x2 = 0 + -27.5 -7.5x + x2 = 0 + -27.5 Combine like terms: 0 + -27.5 = -27.5 -7.5x + x2 = -27.5 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -27.5 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -27.5 + 14.0625 Combine like terms: -27.5 + 14.0625 = -13.4375 14.0625 + -7.5x + x2 = -13.4375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -13.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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