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Simplifying 87 + -19x = -2x2 + -12x Reorder the terms: 87 + -19x = -12x + -2x2 Solving 87 + -19x = -12x + -2x2 Solving for variable 'x'. Combine like terms: -19x + 12x = -7x 87 + -7x + 2x2 = -12x + -2x2 + 12x + 2x2 Reorder the terms: 87 + -7x + 2x2 = -12x + 12x + -2x2 + 2x2 Combine like terms: -12x + 12x = 0 87 + -7x + 2x2 = 0 + -2x2 + 2x2 87 + -7x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 87 + -7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 43.5 + -3.5x + x2 = 0 Move the constant term to the right: Add '-43.5' to each side of the equation. 43.5 + -3.5x + -43.5 + x2 = 0 + -43.5 Reorder the terms: 43.5 + -43.5 + -3.5x + x2 = 0 + -43.5 Combine like terms: 43.5 + -43.5 = 0.0 0.0 + -3.5x + x2 = 0 + -43.5 -3.5x + x2 = 0 + -43.5 Combine like terms: 0 + -43.5 = -43.5 -3.5x + x2 = -43.5 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -43.5 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -43.5 + 3.0625 Combine like terms: -43.5 + 3.0625 = -40.4375 3.0625 + -3.5x + x2 = -40.4375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -40.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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