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Simplifying 2X2 + 3X + 30 = 0 Reorder the terms: 30 + 3X + 2X2 = 0 Solving 30 + 3X + 2X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 15 + 1.5X + X2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + 1.5X + -15 + X2 = 0 + -15 Reorder the terms: 15 + -15 + 1.5X + X2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1.5X + X2 = 0 + -15 1.5X + X2 = 0 + -15 Combine like terms: 0 + -15 = -15 1.5X + X2 = -15 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 = -15 + 0.5625 Reorder the terms: 0.5625 + 1.5X + X2 = -15 + 0.5625 Combine like terms: -15 + 0.5625 = -14.4375 0.5625 + 1.5X + X2 = -14.4375 Factor a perfect square on the left side: (X + 0.75)(X + 0.75) = -14.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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