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Simplifying 0 = -3x2 + 52x + -500 Reorder the terms: 0 = -500 + 52x + -3x2 Solving 0 = -500 + 52x + -3x2 Solving for variable 'x'. Combine like terms: 0 + 500 = 500 500 + -52x + 3x2 = -500 + 52x + -3x2 + 500 + -52x + 3x2 Reorder the terms: 500 + -52x + 3x2 = -500 + 500 + 52x + -52x + -3x2 + 3x2 Combine like terms: -500 + 500 = 0 500 + -52x + 3x2 = 0 + 52x + -52x + -3x2 + 3x2 500 + -52x + 3x2 = 52x + -52x + -3x2 + 3x2 Combine like terms: 52x + -52x = 0 500 + -52x + 3x2 = 0 + -3x2 + 3x2 500 + -52x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 500 + -52x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 166.6666667 + -17.33333333x + x2 = 0 Move the constant term to the right: Add '-166.6666667' to each side of the equation. 166.6666667 + -17.33333333x + -166.6666667 + x2 = 0 + -166.6666667 Reorder the terms: 166.6666667 + -166.6666667 + -17.33333333x + x2 = 0 + -166.6666667 Combine like terms: 166.6666667 + -166.6666667 = 0.0000000 0.0000000 + -17.33333333x + x2 = 0 + -166.6666667 -17.33333333x + x2 = 0 + -166.6666667 Combine like terms: 0 + -166.6666667 = -166.6666667 -17.33333333x + x2 = -166.6666667 The x term is -17.33333333x. Take half its coefficient (-8.666666665). Square it (75.11111108) and add it to both sides. Add '75.11111108' to each side of the equation. -17.33333333x + 75.11111108 + x2 = -166.6666667 + 75.11111108 Reorder the terms: 75.11111108 + -17.33333333x + x2 = -166.6666667 + 75.11111108 Combine like terms: -166.6666667 + 75.11111108 = -91.55555562 75.11111108 + -17.33333333x + x2 = -91.55555562 Factor a perfect square on the left side: (x + -8.666666665)(x + -8.666666665) = -91.55555562 Can't calculate square root of the right side. The solution to this equation could not be determined.
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