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Simplifying 0 = 12x2 + -76x + 595 Reorder the terms: 0 = 595 + -76x + 12x2 Solving 0 = 595 + -76x + 12x2 Solving for variable 'x'. Combine like terms: 0 + -595 = -595 -595 + 76x + -12x2 = 595 + -76x + 12x2 + -595 + 76x + -12x2 Reorder the terms: -595 + 76x + -12x2 = 595 + -595 + -76x + 76x + 12x2 + -12x2 Combine like terms: 595 + -595 = 0 -595 + 76x + -12x2 = 0 + -76x + 76x + 12x2 + -12x2 -595 + 76x + -12x2 = -76x + 76x + 12x2 + -12x2 Combine like terms: -76x + 76x = 0 -595 + 76x + -12x2 = 0 + 12x2 + -12x2 -595 + 76x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -595 + 76x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 49.58333333 + -6.333333333x + x2 = 0 Move the constant term to the right: Add '-49.58333333' to each side of the equation. 49.58333333 + -6.333333333x + -49.58333333 + x2 = 0 + -49.58333333 Reorder the terms: 49.58333333 + -49.58333333 + -6.333333333x + x2 = 0 + -49.58333333 Combine like terms: 49.58333333 + -49.58333333 = 0.00000000 0.00000000 + -6.333333333x + x2 = 0 + -49.58333333 -6.333333333x + x2 = 0 + -49.58333333 Combine like terms: 0 + -49.58333333 = -49.58333333 -6.333333333x + x2 = -49.58333333 The x term is -6.333333333x. Take half its coefficient (-3.166666667). Square it (10.02777778) and add it to both sides. Add '10.02777778' to each side of the equation. -6.333333333x + 10.02777778 + x2 = -49.58333333 + 10.02777778 Reorder the terms: 10.02777778 + -6.333333333x + x2 = -49.58333333 + 10.02777778 Combine like terms: -49.58333333 + 10.02777778 = -39.55555555 10.02777778 + -6.333333333x + x2 = -39.55555555 Factor a perfect square on the left side: (x + -3.166666667)(x + -3.166666667) = -39.55555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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