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Simplifying 2x2 + 5x = -18 Reorder the terms: 5x + 2x2 = -18 Solving 5x + 2x2 = -18 Solving for variable 'x'. Reorder the terms: 18 + 5x + 2x2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + 2.5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2.5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2.5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2.5x + x2 = 0 + -9 2.5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2.5x + x2 = -9 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -9 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -9 + 1.5625 Combine like terms: -9 + 1.5625 = -7.4375 1.5625 + 2.5x + x2 = -7.4375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -7.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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