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Simplifying 0.25p + -0.5p2 = 7 Solving 0.25p + -0.5p2 = 7 Solving for variable 'p'. Reorder the terms: -7 + 0.25p + -0.5p2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 0.25p + -0.5p2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 14 + -0.5p + p2 = 0 Move the constant term to the right: Add '-14' to each side of the equation. 14 + -0.5p + -14 + p2 = 0 + -14 Reorder the terms: 14 + -14 + -0.5p + p2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -0.5p + p2 = 0 + -14 -0.5p + p2 = 0 + -14 Combine like terms: 0 + -14 = -14 -0.5p + p2 = -14 The p term is -0.5p. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5p + 0.0625 + p2 = -14 + 0.0625 Reorder the terms: 0.0625 + -0.5p + p2 = -14 + 0.0625 Combine like terms: -14 + 0.0625 = -13.9375 0.0625 + -0.5p + p2 = -13.9375 Factor a perfect square on the left side: (p + -0.25)(p + -0.25) = -13.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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