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Simplifying 0.3x2 + -1.2x + 13 = 0 Reorder the terms: 13 + -1.2x + 0.3x2 = 0 Solving 13 + -1.2x + 0.3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.3 the coefficient of the squared term: Divide each side by '0.3'. 43.33333333 + -4x + x2 = 0 Move the constant term to the right: Add '-43.33333333' to each side of the equation. 43.33333333 + -4x + -43.33333333 + x2 = 0 + -43.33333333 Reorder the terms: 43.33333333 + -43.33333333 + -4x + x2 = 0 + -43.33333333 Combine like terms: 43.33333333 + -43.33333333 = 0.00000000 0.00000000 + -4x + x2 = 0 + -43.33333333 -4x + x2 = 0 + -43.33333333 Combine like terms: 0 + -43.33333333 = -43.33333333 -4x + x2 = -43.33333333 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -43.33333333 + 4 Reorder the terms: 4 + -4x + x2 = -43.33333333 + 4 Combine like terms: -43.33333333 + 4 = -39.33333333 4 + -4x + x2 = -39.33333333 Factor a perfect square on the left side: (x + -2)(x + -2) = -39.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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