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Simplifying 4X2 + -6X + 21 = 0 Reorder the terms: 21 + -6X + 4X2 = 0 Solving 21 + -6X + 4X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.25 + -1.5X + X2 = 0 Move the constant term to the right: Add '-5.25' to each side of the equation. 5.25 + -1.5X + -5.25 + X2 = 0 + -5.25 Reorder the terms: 5.25 + -5.25 + -1.5X + X2 = 0 + -5.25 Combine like terms: 5.25 + -5.25 = 0.00 0.00 + -1.5X + X2 = 0 + -5.25 -1.5X + X2 = 0 + -5.25 Combine like terms: 0 + -5.25 = -5.25 -1.5X + X2 = -5.25 The X term is -1.5X. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5X + 0.5625 + X2 = -5.25 + 0.5625 Reorder the terms: 0.5625 + -1.5X + X2 = -5.25 + 0.5625 Combine like terms: -5.25 + 0.5625 = -4.6875 0.5625 + -1.5X + X2 = -4.6875 Factor a perfect square on the left side: (X + -0.75)(X + -0.75) = -4.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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