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Simplifying 20 = -16x2 + 25x + 3 Reorder the terms: 20 = 3 + 25x + -16x2 Solving 20 = 3 + 25x + -16x2 Solving for variable 'x'. Combine like terms: 20 + -3 = 17 17 + -25x + 16x2 = 3 + 25x + -16x2 + -3 + -25x + 16x2 Reorder the terms: 17 + -25x + 16x2 = 3 + -3 + 25x + -25x + -16x2 + 16x2 Combine like terms: 3 + -3 = 0 17 + -25x + 16x2 = 0 + 25x + -25x + -16x2 + 16x2 17 + -25x + 16x2 = 25x + -25x + -16x2 + 16x2 Combine like terms: 25x + -25x = 0 17 + -25x + 16x2 = 0 + -16x2 + 16x2 17 + -25x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 17 + -25x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.0625 + -1.5625x + x2 = 0 Move the constant term to the right: Add '-1.0625' to each side of the equation. 1.0625 + -1.5625x + -1.0625 + x2 = 0 + -1.0625 Reorder the terms: 1.0625 + -1.0625 + -1.5625x + x2 = 0 + -1.0625 Combine like terms: 1.0625 + -1.0625 = 0.0000 0.0000 + -1.5625x + x2 = 0 + -1.0625 -1.5625x + x2 = 0 + -1.0625 Combine like terms: 0 + -1.0625 = -1.0625 -1.5625x + x2 = -1.0625 The x term is -1.5625x. Take half its coefficient (-0.78125). Square it (0.6103515625) and add it to both sides. Add '0.6103515625' to each side of the equation. -1.5625x + 0.6103515625 + x2 = -1.0625 + 0.6103515625 Reorder the terms: 0.6103515625 + -1.5625x + x2 = -1.0625 + 0.6103515625 Combine like terms: -1.0625 + 0.6103515625 = -0.4521484375 0.6103515625 + -1.5625x + x2 = -0.4521484375 Factor a perfect square on the left side: (x + -0.78125)(x + -0.78125) = -0.4521484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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