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Simplifying 3p2 + -12p + 200 = 0 Reorder the terms: 200 + -12p + 3p2 = 0 Solving 200 + -12p + 3p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 66.66666667 + -4p + p2 = 0 Move the constant term to the right: Add '-66.66666667' to each side of the equation. 66.66666667 + -4p + -66.66666667 + p2 = 0 + -66.66666667 Reorder the terms: 66.66666667 + -66.66666667 + -4p + p2 = 0 + -66.66666667 Combine like terms: 66.66666667 + -66.66666667 = 0.00000000 0.00000000 + -4p + p2 = 0 + -66.66666667 -4p + p2 = 0 + -66.66666667 Combine like terms: 0 + -66.66666667 = -66.66666667 -4p + p2 = -66.66666667 The p term is -4p. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4p + 4 + p2 = -66.66666667 + 4 Reorder the terms: 4 + -4p + p2 = -66.66666667 + 4 Combine like terms: -66.66666667 + 4 = -62.66666667 4 + -4p + p2 = -62.66666667 Factor a perfect square on the left side: (p + -2)(p + -2) = -62.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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