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Simplifying 58.4375 = -16x2 + 22x + 3 Reorder the terms: 58.4375 = 3 + 22x + -16x2 Solving 58.4375 = 3 + 22x + -16x2 Solving for variable 'x'. Combine like terms: 58.4375 + -3 = 55.4375 55.4375 + -22x + 16x2 = 3 + 22x + -16x2 + -3 + -22x + 16x2 Reorder the terms: 55.4375 + -22x + 16x2 = 3 + -3 + 22x + -22x + -16x2 + 16x2 Combine like terms: 3 + -3 = 0 55.4375 + -22x + 16x2 = 0 + 22x + -22x + -16x2 + 16x2 55.4375 + -22x + 16x2 = 22x + -22x + -16x2 + 16x2 Combine like terms: 22x + -22x = 0 55.4375 + -22x + 16x2 = 0 + -16x2 + 16x2 55.4375 + -22x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 55.4375 + -22x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 3.46484375 + -1.375x + x2 = 0 Move the constant term to the right: Add '-3.46484375' to each side of the equation. 3.46484375 + -1.375x + -3.46484375 + x2 = 0 + -3.46484375 Reorder the terms: 3.46484375 + -3.46484375 + -1.375x + x2 = 0 + -3.46484375 Combine like terms: 3.46484375 + -3.46484375 = 0.00000000 0.00000000 + -1.375x + x2 = 0 + -3.46484375 -1.375x + x2 = 0 + -3.46484375 Combine like terms: 0 + -3.46484375 = -3.46484375 -1.375x + x2 = -3.46484375 The x term is -1.375x. Take half its coefficient (-0.6875). Square it (0.47265625) and add it to both sides. Add '0.47265625' to each side of the equation. -1.375x + 0.47265625 + x2 = -3.46484375 + 0.47265625 Reorder the terms: 0.47265625 + -1.375x + x2 = -3.46484375 + 0.47265625 Combine like terms: -3.46484375 + 0.47265625 = -2.9921875 0.47265625 + -1.375x + x2 = -2.9921875 Factor a perfect square on the left side: (x + -0.6875)(x + -0.6875) = -2.9921875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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