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Simplifying 3x2 + 60x + 500 = 0 Reorder the terms: 500 + 60x + 3x2 = 0 Solving 500 + 60x + 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'. 166.6666667 + 20x + x2 = 0 Move the constant term to the right: Add '-166.6666667' to each side of the equation. 166.6666667 + 20x + -166.6666667 + x2 = 0 + -166.6666667 Reorder the terms: 166.6666667 + -166.6666667 + 20x + x2 = 0 + -166.6666667 Combine like terms: 166.6666667 + -166.6666667 = 0.0000000 0.0000000 + 20x + x2 = 0 + -166.6666667 20x + x2 = 0 + -166.6666667 Combine like terms: 0 + -166.6666667 = -166.6666667 20x + x2 = -166.6666667 The x term is 20x. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20x + 100 + x2 = -166.6666667 + 100 Reorder the terms: 100 + 20x + x2 = -166.6666667 + 100 Combine like terms: -166.6666667 + 100 = -66.6666667 100 + 20x + x2 = -66.6666667 Factor a perfect square on the left side: (x + 10)(x + 10) = -66.6666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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