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Simplifying 9p2 + -24p + 72 = 0 Reorder the terms: 72 + -24p + 9p2 = 0 Solving 72 + -24p + 9p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(24 + -8p + 3p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(24 + -8p + 3p2)' equal to zero and attempt to solve: Simplifying 24 + -8p + 3p2 = 0 Solving 24 + -8p + 3p2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8 + -2.666666667p + p2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.666666667p + -8 + p2 = 0 + -8 Reorder the terms: 8 + -8 + -2.666666667p + p2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.666666667p + p2 = 0 + -8 -2.666666667p + p2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.666666667p + p2 = -8 The p term is -2.666666667p. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667p + 1.777777780 + p2 = -8 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667p + p2 = -8 + 1.777777780 Combine like terms: -8 + 1.777777780 = -6.22222222 1.777777780 + -2.666666667p + p2 = -6.22222222 Factor a perfect square on the left side: (p + -1.333333334)(p + -1.333333334) = -6.22222222 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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