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Simplifying -3x2 + 30x + -79 = 0 Reorder the terms: -79 + 30x + -3x2 = 0 Solving -79 + 30x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 26.33333333 + -10x + x2 = 0 Move the constant term to the right: Add '-26.33333333' to each side of the equation. 26.33333333 + -10x + -26.33333333 + x2 = 0 + -26.33333333 Reorder the terms: 26.33333333 + -26.33333333 + -10x + x2 = 0 + -26.33333333 Combine like terms: 26.33333333 + -26.33333333 = 0.00000000 0.00000000 + -10x + x2 = 0 + -26.33333333 -10x + x2 = 0 + -26.33333333 Combine like terms: 0 + -26.33333333 = -26.33333333 -10x + x2 = -26.33333333 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -26.33333333 + 25 Reorder the terms: 25 + -10x + x2 = -26.33333333 + 25 Combine like terms: -26.33333333 + 25 = -1.33333333 25 + -10x + x2 = -1.33333333 Factor a perfect square on the left side: (x + -5)(x + -5) = -1.33333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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