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Simplifying 3x2 + -15x + 18 = -1 Reorder the terms: 18 + -15x + 3x2 = -1 Solving 18 + -15x + 3x2 = -1 Solving for variable 'x'. Reorder the terms: 18 + 1 + -15x + 3x2 = -1 + 1 Combine like terms: 18 + 1 = 19 19 + -15x + 3x2 = -1 + 1 Combine like terms: -1 + 1 = 0 19 + -15x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.333333333 + -5x + x2 = 0 Move the constant term to the right: Add '-6.333333333' to each side of the equation. 6.333333333 + -5x + -6.333333333 + x2 = 0 + -6.333333333 Reorder the terms: 6.333333333 + -6.333333333 + -5x + x2 = 0 + -6.333333333 Combine like terms: 6.333333333 + -6.333333333 = 0.000000000 0.000000000 + -5x + x2 = 0 + -6.333333333 -5x + x2 = 0 + -6.333333333 Combine like terms: 0 + -6.333333333 = -6.333333333 -5x + x2 = -6.333333333 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -6.333333333 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -6.333333333 + 6.25 Combine like terms: -6.333333333 + 6.25 = -0.083333333 6.25 + -5x + x2 = -0.083333333 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -0.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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