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Simplifying 3p2 + -12p + 63 = 0 Reorder the terms: 63 + -12p + 3p2 = 0 Solving 63 + -12p + 3p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -4p + p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(21 + -4p + p2)' equal to zero and attempt to solve: Simplifying 21 + -4p + p2 = 0 Solving 21 + -4p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -4p + -21 + p2 = 0 + -21 Reorder the terms: 21 + -21 + -4p + p2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4p + p2 = 0 + -21 -4p + p2 = 0 + -21 Combine like terms: 0 + -21 = -21 -4p + p2 = -21 The p term is -4p. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4p + 4 + p2 = -21 + 4 Reorder the terms: 4 + -4p + p2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + -4p + p2 = -17 Factor a perfect square on the left side: (p + -2)(p + -2) = -17 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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