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Simplifying (-4p2 + -3p + -2) + (-1p2 + -4) = 0 Reorder the terms: (-2 + -3p + -4p2) + (-1p2 + -4) = 0 Remove parenthesis around (-2 + -3p + -4p2) -2 + -3p + -4p2 + (-1p2 + -4) = 0 Reorder the terms: -2 + -3p + -4p2 + (-4 + -1p2) = 0 Remove parenthesis around (-4 + -1p2) -2 + -3p + -4p2 + -4 + -1p2 = 0 Reorder the terms: -2 + -4 + -3p + -4p2 + -1p2 = 0 Combine like terms: -2 + -4 = -6 -6 + -3p + -4p2 + -1p2 = 0 Combine like terms: -4p2 + -1p2 = -5p2 -6 + -3p + -5p2 = 0 Solving -6 + -3p + -5p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 3p + 5p2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 3p + 5p2)' equal to zero and attempt to solve: Simplifying 6 + 3p + 5p2 = 0 Solving 6 + 3p + 5p2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.2 + 0.6p + p2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + 0.6p + -1.2 + p2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + 0.6p + p2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.6p + p2 = 0 + -1.2 0.6p + p2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 0.6p + p2 = -1.2 The p term is 0.6p. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6p + 0.09 + p2 = -1.2 + 0.09 Reorder the terms: 0.09 + 0.6p + p2 = -1.2 + 0.09 Combine like terms: -1.2 + 0.09 = -1.11 0.09 + 0.6p + p2 = -1.11 Factor a perfect square on the left side: (p + 0.3)(p + 0.3) = -1.11 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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