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Simplifying 21x2 + -40x + 21 = 0 Reorder the terms: 21 + -40x + 21x2 = 0 Solving 21 + -40x + 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 + -1.904761905x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.904761905x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.904761905x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.904761905x + x2 = 0 + -1 -1.904761905x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.904761905x + x2 = -1 The x term is -1.904761905x. Take half its coefficient (-0.9523809525). Square it (0.9070294787) and add it to both sides. Add '0.9070294787' to each side of the equation. -1.904761905x + 0.9070294787 + x2 = -1 + 0.9070294787 Reorder the terms: 0.9070294787 + -1.904761905x + x2 = -1 + 0.9070294787 Combine like terms: -1 + 0.9070294787 = -0.0929705213 0.9070294787 + -1.904761905x + x2 = -0.0929705213 Factor a perfect square on the left side: (x + -0.9523809525)(x + -0.9523809525) = -0.0929705213 Can't calculate square root of the right side. The solution to this equation could not be determined.
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