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Simplifying 28x2 + -6x + 21 = 0 Reorder the terms: 21 + -6x + 28x2 = 0 Solving 21 + -6x + 28x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.75 + -0.2142857143x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.2142857143x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.2142857143x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.2142857143x + x2 = 0 + -0.75 -0.2142857143x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.2142857143x + x2 = -0.75 The x term is -0.2142857143x. Take half its coefficient (-0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. -0.2142857143x + 0.01147959185 + x2 = -0.75 + 0.01147959185 Reorder the terms: 0.01147959185 + -0.2142857143x + x2 = -0.75 + 0.01147959185 Combine like terms: -0.75 + 0.01147959185 = -0.73852040815 0.01147959185 + -0.2142857143x + x2 = -0.73852040815 Factor a perfect square on the left side: (x + -0.1071428572)(x + -0.1071428572) = -0.73852040815 Can't calculate square root of the right side. The solution to this equation could not be determined.
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