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Simplifying 5x2 + -18x + 30 = 0 Reorder the terms: 30 + -18x + 5x2 = 0 Solving 30 + -18x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6 + -3.6x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -3.6x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -3.6x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3.6x + x2 = 0 + -6 -3.6x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -3.6x + x2 = -6 The x term is -3.6x. Take half its coefficient (-1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. -3.6x + 3.24 + x2 = -6 + 3.24 Reorder the terms: 3.24 + -3.6x + x2 = -6 + 3.24 Combine like terms: -6 + 3.24 = -2.76 3.24 + -3.6x + x2 = -2.76 Factor a perfect square on the left side: (x + -1.8)(x + -1.8) = -2.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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