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Simplifying (6p + -2) + -1(5p + 5p2) = 0 Reorder the terms: (-2 + 6p) + -1(5p + 5p2) = 0 Remove parenthesis around (-2 + 6p) -2 + 6p + -1(5p + 5p2) = 0 -2 + 6p + (5p * -1 + 5p2 * -1) = 0 -2 + 6p + (-5p + -5p2) = 0 Combine like terms: 6p + -5p = 1p -2 + 1p + -5p2 = 0 Solving -2 + 1p + -5p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.4 + -0.2p + p2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + -0.2p + -0.4 + p2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + -0.2p + p2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.2p + p2 = 0 + -0.4 -0.2p + p2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 -0.2p + p2 = -0.4 The p term is -0.2p. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2p + 0.01 + p2 = -0.4 + 0.01 Reorder the terms: 0.01 + -0.2p + p2 = -0.4 + 0.01 Combine like terms: -0.4 + 0.01 = -0.39 0.01 + -0.2p + p2 = -0.39 Factor a perfect square on the left side: (p + -0.1)(p + -0.1) = -0.39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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