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Simplifying 30x2 + -55.5x + 45 = 0 Reorder the terms: 45 + -55.5x + 30x2 = 0 Solving 45 + -55.5x + 30x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 1.5 + -1.85x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.85x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.85x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.85x + x2 = 0 + -1.5 -1.85x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.85x + x2 = -1.5 The x term is -1.85x. Take half its coefficient (-0.925). Square it (0.855625) and add it to both sides. Add '0.855625' to each side of the equation. -1.85x + 0.855625 + x2 = -1.5 + 0.855625 Reorder the terms: 0.855625 + -1.85x + x2 = -1.5 + 0.855625 Combine like terms: -1.5 + 0.855625 = -0.644375 0.855625 + -1.85x + x2 = -0.644375 Factor a perfect square on the left side: (x + -0.925)(x + -0.925) = -0.644375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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