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Simplifying 21x2 + -4x + 22 = 0 Reorder the terms: 22 + -4x + 21x2 = 0 Solving 22 + -4x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.047619048 + -0.1904761905x + x2 = 0 Move the constant term to the right: Add '-1.047619048' to each side of the equation. 1.047619048 + -0.1904761905x + -1.047619048 + x2 = 0 + -1.047619048 Reorder the terms: 1.047619048 + -1.047619048 + -0.1904761905x + x2 = 0 + -1.047619048 Combine like terms: 1.047619048 + -1.047619048 = 0.000000000 0.000000000 + -0.1904761905x + x2 = 0 + -1.047619048 -0.1904761905x + x2 = 0 + -1.047619048 Combine like terms: 0 + -1.047619048 = -1.047619048 -0.1904761905x + x2 = -1.047619048 The x term is -0.1904761905x. Take half its coefficient (-0.09523809525). Square it (0.009070294787) and add it to both sides. Add '0.009070294787' to each side of the equation. -0.1904761905x + 0.009070294787 + x2 = -1.047619048 + 0.009070294787 Reorder the terms: 0.009070294787 + -0.1904761905x + x2 = -1.047619048 + 0.009070294787 Combine like terms: -1.047619048 + 0.009070294787 = -1.038548753213 0.009070294787 + -0.1904761905x + x2 = -1.038548753213 Factor a perfect square on the left side: (x + -0.09523809525)(x + -0.09523809525) = -1.038548753213 Can't calculate square root of the right side. The solution to this equation could not be determined.
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