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Simplifying 25p2 + -5p + 12 = 0 Reorder the terms: 12 + -5p + 25p2 = 0 Solving 12 + -5p + 25p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.48 + -0.2p + p2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + -0.2p + -0.48 + p2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + -0.2p + p2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.2p + p2 = 0 + -0.48 -0.2p + p2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 -0.2p + p2 = -0.48 The p term is -0.2p. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2p + 0.01 + p2 = -0.48 + 0.01 Reorder the terms: 0.01 + -0.2p + p2 = -0.48 + 0.01 Combine like terms: -0.48 + 0.01 = -0.47 0.01 + -0.2p + p2 = -0.47 Factor a perfect square on the left side: (p + -0.1)(p + -0.1) = -0.47 Can't calculate square root of the right side. The solution to this equation could not be determined.
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