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Simplifying 4p2 + -40p + 400 = 0 Reorder the terms: 400 + -40p + 4p2 = 0 Solving 400 + -40p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(100 + -10p + p2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(100 + -10p + p2)' equal to zero and attempt to solve: Simplifying 100 + -10p + p2 = 0 Solving 100 + -10p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -10p + -100 + p2 = 0 + -100 Reorder the terms: 100 + -100 + -10p + p2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -10p + p2 = 0 + -100 -10p + p2 = 0 + -100 Combine like terms: 0 + -100 = -100 -10p + p2 = -100 The p term is -10p. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10p + 25 + p2 = -100 + 25 Reorder the terms: 25 + -10p + p2 = -100 + 25 Combine like terms: -100 + 25 = -75 25 + -10p + p2 = -75 Factor a perfect square on the left side: (p + -5)(p + -5) = -75 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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