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Simplifying 4p2 + 24p = -80 Reorder the terms: 24p + 4p2 = -80 Solving 24p + 4p2 = -80 Solving for variable 'p'. Reorder the terms: 80 + 24p + 4p2 = -80 + 80 Combine like terms: -80 + 80 = 0 80 + 24p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(20 + 6p + p2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(20 + 6p + p2)' equal to zero and attempt to solve: Simplifying 20 + 6p + p2 = 0 Solving 20 + 6p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 6p + -20 + p2 = 0 + -20 Reorder the terms: 20 + -20 + 6p + p2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6p + p2 = 0 + -20 6p + p2 = 0 + -20 Combine like terms: 0 + -20 = -20 6p + p2 = -20 The p term is 6p. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6p + 9 + p2 = -20 + 9 Reorder the terms: 9 + 6p + p2 = -20 + 9 Combine like terms: -20 + 9 = -11 9 + 6p + p2 = -11 Factor a perfect square on the left side: (p + 3)(p + 3) = -11 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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