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Simplifying 36x2 + 25x + 14 = 0 Reorder the terms: 14 + 25x + 36x2 = 0 Solving 14 + 25x + 36x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.3888888889 + 0.6944444444x + x2 = 0 Move the constant term to the right: Add '-0.3888888889' to each side of the equation. 0.3888888889 + 0.6944444444x + -0.3888888889 + x2 = 0 + -0.3888888889 Reorder the terms: 0.3888888889 + -0.3888888889 + 0.6944444444x + x2 = 0 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + 0.6944444444x + x2 = 0 + -0.3888888889 0.6944444444x + x2 = 0 + -0.3888888889 Combine like terms: 0 + -0.3888888889 = -0.3888888889 0.6944444444x + x2 = -0.3888888889 The x term is 0.6944444444x. Take half its coefficient (0.3472222222). Square it (0.1205632716) and add it to both sides. Add '0.1205632716' to each side of the equation. 0.6944444444x + 0.1205632716 + x2 = -0.3888888889 + 0.1205632716 Reorder the terms: 0.1205632716 + 0.6944444444x + x2 = -0.3888888889 + 0.1205632716 Combine like terms: -0.3888888889 + 0.1205632716 = -0.2683256173 0.1205632716 + 0.6944444444x + x2 = -0.2683256173 Factor a perfect square on the left side: (x + 0.3472222222)(x + 0.3472222222) = -0.2683256173 Can't calculate square root of the right side. The solution to this equation could not be determined.
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