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Simplifying 10p2 + 4p + 77 = 0 Reorder the terms: 77 + 4p + 10p2 = 0 Solving 77 + 4p + 10p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 7.7 + 0.4p + p2 = 0 Move the constant term to the right: Add '-7.7' to each side of the equation. 7.7 + 0.4p + -7.7 + p2 = 0 + -7.7 Reorder the terms: 7.7 + -7.7 + 0.4p + p2 = 0 + -7.7 Combine like terms: 7.7 + -7.7 = 0.0 0.0 + 0.4p + p2 = 0 + -7.7 0.4p + p2 = 0 + -7.7 Combine like terms: 0 + -7.7 = -7.7 0.4p + p2 = -7.7 The p term is 0.4p. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4p + 0.04 + p2 = -7.7 + 0.04 Reorder the terms: 0.04 + 0.4p + p2 = -7.7 + 0.04 Combine like terms: -7.7 + 0.04 = -7.66 0.04 + 0.4p + p2 = -7.66 Factor a perfect square on the left side: (p + 0.2)(p + 0.2) = -7.66 Can't calculate square root of the right side. The solution to this equation could not be determined.
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