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Simplifying 3x2 + -200x + 17400 = 0 Reorder the terms: 17400 + -200x + 3x2 = 0 Solving 17400 + -200x + 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'. 5800 + -66.66666667x + x2 = 0 Move the constant term to the right: Add '-5800' to each side of the equation. 5800 + -66.66666667x + -5800 + x2 = 0 + -5800 Reorder the terms: 5800 + -5800 + -66.66666667x + x2 = 0 + -5800 Combine like terms: 5800 + -5800 = 0 0 + -66.66666667x + x2 = 0 + -5800 -66.66666667x + x2 = 0 + -5800 Combine like terms: 0 + -5800 = -5800 -66.66666667x + x2 = -5800 The x term is -66.66666667x. Take half its coefficient (-33.33333334). Square it (1111.111112) and add it to both sides. Add '1111.111112' to each side of the equation. -66.66666667x + 1111.111112 + x2 = -5800 + 1111.111112 Reorder the terms: 1111.111112 + -66.66666667x + x2 = -5800 + 1111.111112 Combine like terms: -5800 + 1111.111112 = -4688.888888 1111.111112 + -66.66666667x + x2 = -4688.888888 Factor a perfect square on the left side: (x + -33.33333334)(x + -33.33333334) = -4688.888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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