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Simplifying 4367 = -16x2 + 514x + 66 Reorder the terms: 4367 = 66 + 514x + -16x2 Solving 4367 = 66 + 514x + -16x2 Solving for variable 'x'. Combine like terms: 4367 + -66 = 4301 4301 + -514x + 16x2 = 66 + 514x + -16x2 + -66 + -514x + 16x2 Reorder the terms: 4301 + -514x + 16x2 = 66 + -66 + 514x + -514x + -16x2 + 16x2 Combine like terms: 66 + -66 = 0 4301 + -514x + 16x2 = 0 + 514x + -514x + -16x2 + 16x2 4301 + -514x + 16x2 = 514x + -514x + -16x2 + 16x2 Combine like terms: 514x + -514x = 0 4301 + -514x + 16x2 = 0 + -16x2 + 16x2 4301 + -514x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 4301 + -514x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 268.8125 + -32.125x + x2 = 0 Move the constant term to the right: Add '-268.8125' to each side of the equation. 268.8125 + -32.125x + -268.8125 + x2 = 0 + -268.8125 Reorder the terms: 268.8125 + -268.8125 + -32.125x + x2 = 0 + -268.8125 Combine like terms: 268.8125 + -268.8125 = 0.0000 0.0000 + -32.125x + x2 = 0 + -268.8125 -32.125x + x2 = 0 + -268.8125 Combine like terms: 0 + -268.8125 = -268.8125 -32.125x + x2 = -268.8125 The x term is -32.125x. Take half its coefficient (-16.0625). Square it (258.0039063) and add it to both sides. Add '258.0039063' to each side of the equation. -32.125x + 258.0039063 + x2 = -268.8125 + 258.0039063 Reorder the terms: 258.0039063 + -32.125x + x2 = -268.8125 + 258.0039063 Combine like terms: -268.8125 + 258.0039063 = -10.8085937 258.0039063 + -32.125x + x2 = -10.8085937 Factor a perfect square on the left side: (x + -16.0625)(x + -16.0625) = -10.8085937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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