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Simplifying 6p2 + -6p = -4 Reorder the terms: -6p + 6p2 = -4 Solving -6p + 6p2 = -4 Solving for variable 'p'. Reorder the terms: 4 + -6p + 6p2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6p + 6p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3p + 3p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3p + 3p2)' equal to zero and attempt to solve: Simplifying 2 + -3p + 3p2 = 0 Solving 2 + -3p + 3p2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + -1p + p2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -1p + -0.6666666667 + p2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -1p + p2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -1p + p2 = 0 + -0.6666666667 -1p + p2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -1p + p2 = -0.6666666667 The p term is -1p. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1p + 0.25 + p2 = -0.6666666667 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -0.6666666667 + 0.25 Combine like terms: -0.6666666667 + 0.25 = -0.4166666667 0.25 + -1p + p2 = -0.4166666667 Factor a perfect square on the left side: (p + -0.5)(p + -0.5) = -0.4166666667 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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