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Simplifying 6p2 = -9 + 9p Solving 6p2 = -9 + 9p Solving for variable 'p'. Reorder the terms: 9 + -9p + 6p2 = -9 + 9p + 9 + -9p Reorder the terms: 9 + -9p + 6p2 = -9 + 9 + 9p + -9p Combine like terms: -9 + 9 = 0 9 + -9p + 6p2 = 0 + 9p + -9p 9 + -9p + 6p2 = 9p + -9p Combine like terms: 9p + -9p = 0 9 + -9p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -3p + 2p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -3p + 2p2)' equal to zero and attempt to solve: Simplifying 3 + -3p + 2p2 = 0 Solving 3 + -3p + 2p2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -1.5p + p2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.5p + -1.5 + p2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.5p + p2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.5p + p2 = 0 + -1.5 -1.5p + p2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.5p + p2 = -1.5 The p term is -1.5p. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5p + 0.5625 + p2 = -1.5 + 0.5625 Reorder the terms: 0.5625 + -1.5p + p2 = -1.5 + 0.5625 Combine like terms: -1.5 + 0.5625 = -0.9375 0.5625 + -1.5p + p2 = -0.9375 Factor a perfect square on the left side: (p + -0.75)(p + -0.75) = -0.9375 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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