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Simplifying 6 = 0.002X2 + -0.316X + 127.9 Reorder the terms: 6 = 127.9 + -0.316X + 0.002X2 Solving 6 = 127.9 + -0.316X + 0.002X2 Solving for variable 'X'. Combine like terms: 6 + -127.9 = -121.9 -121.9 + 0.316X + -0.002X2 = 127.9 + -0.316X + 0.002X2 + -127.9 + 0.316X + -0.002X2 Reorder the terms: -121.9 + 0.316X + -0.002X2 = 127.9 + -127.9 + -0.316X + 0.316X + 0.002X2 + -0.002X2 Combine like terms: 127.9 + -127.9 = 0.0 -121.9 + 0.316X + -0.002X2 = 0.0 + -0.316X + 0.316X + 0.002X2 + -0.002X2 -121.9 + 0.316X + -0.002X2 = -0.316X + 0.316X + 0.002X2 + -0.002X2 Combine like terms: -0.316X + 0.316X = 0.000 -121.9 + 0.316X + -0.002X2 = 0.000 + 0.002X2 + -0.002X2 -121.9 + 0.316X + -0.002X2 = 0.002X2 + -0.002X2 Combine like terms: 0.002X2 + -0.002X2 = 0.000 -121.9 + 0.316X + -0.002X2 = 0.000 Begin completing the square. Divide all terms by -0.002 the coefficient of the squared term: Divide each side by '-0.002'. 60950 + -158X + X2 = 0 Move the constant term to the right: Add '-60950' to each side of the equation. 60950 + -158X + -60950 + X2 = 0 + -60950 Reorder the terms: 60950 + -60950 + -158X + X2 = 0 + -60950 Combine like terms: 60950 + -60950 = 0 0 + -158X + X2 = 0 + -60950 -158X + X2 = 0 + -60950 Combine like terms: 0 + -60950 = -60950 -158X + X2 = -60950 The X term is -158X. Take half its coefficient (-79). Square it (6241) and add it to both sides. Add '6241' to each side of the equation. -158X + 6241 + X2 = -60950 + 6241 Reorder the terms: 6241 + -158X + X2 = -60950 + 6241 Combine like terms: -60950 + 6241 = -54709 6241 + -158X + X2 = -54709 Factor a perfect square on the left side: (X + -79)(X + -79) = -54709 Can't calculate square root of the right side. The solution to this equation could not be determined.
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