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Simplifying 8p2 + -30p + 50 = 0 Reorder the terms: 50 + -30p + 8p2 = 0 Solving 50 + -30p + 8p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(25 + -15p + 4p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -15p + 4p2)' equal to zero and attempt to solve: Simplifying 25 + -15p + 4p2 = 0 Solving 25 + -15p + 4p2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 6.25 + -3.75p + p2 = 0 Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + -3.75p + -6.25 + p2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + -3.75p + p2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + -3.75p + p2 = 0 + -6.25 -3.75p + p2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 -3.75p + p2 = -6.25 The p term is -3.75p. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75p + 3.515625 + p2 = -6.25 + 3.515625 Reorder the terms: 3.515625 + -3.75p + p2 = -6.25 + 3.515625 Combine like terms: -6.25 + 3.515625 = -2.734375 3.515625 + -3.75p + p2 = -2.734375 Factor a perfect square on the left side: (p + -1.875)(p + -1.875) = -2.734375 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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