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Simplifying 5p2 + 20p + 585 = 0 Reorder the terms: 585 + 20p + 5p2 = 0 Solving 585 + 20p + 5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(117 + 4p + p2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(117 + 4p + p2)' equal to zero and attempt to solve: Simplifying 117 + 4p + p2 = 0 Solving 117 + 4p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-117' to each side of the equation. 117 + 4p + -117 + p2 = 0 + -117 Reorder the terms: 117 + -117 + 4p + p2 = 0 + -117 Combine like terms: 117 + -117 = 0 0 + 4p + p2 = 0 + -117 4p + p2 = 0 + -117 Combine like terms: 0 + -117 = -117 4p + p2 = -117 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 = -117 + 4 Reorder the terms: 4 + 4p + p2 = -117 + 4 Combine like terms: -117 + 4 = -113 4 + 4p + p2 = -113 Factor a perfect square on the left side: (p + 2)(p + 2) = -113 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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