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Simplifying 36p2 + -16p + 8 = 0 Reorder the terms: 8 + -16p + 36p2 = 0 Solving 8 + -16p + 36p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -4p + 9p2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -4p + 9p2)' equal to zero and attempt to solve: Simplifying 2 + -4p + 9p2 = 0 Solving 2 + -4p + 9p2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.2222222222 + -0.4444444444p + p2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.4444444444p + -0.2222222222 + p2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.4444444444p + p2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.4444444444p + p2 = 0 + -0.2222222222 -0.4444444444p + p2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.4444444444p + p2 = -0.2222222222 The p term is -0.4444444444p. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444p + 0.04938271604 + p2 = -0.2222222222 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444p + p2 = -0.2222222222 + 0.04938271604 Combine like terms: -0.2222222222 + 0.04938271604 = -0.17283950616 0.04938271604 + -0.4444444444p + p2 = -0.17283950616 Factor a perfect square on the left side: (p + -0.2222222222)(p + -0.2222222222) = -0.17283950616 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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