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Simplifying -4p2 + 3p = 8 Reorder the terms: 3p + -4p2 = 8 Solving 3p + -4p2 = 8 Solving for variable 'p'. Reorder the terms: -8 + 3p + -4p2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 3p + -4p2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2 + -0.75p + p2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.75p + -2 + p2 = 0 + -2 Reorder the terms: 2 + -2 + -0.75p + p2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.75p + p2 = 0 + -2 -0.75p + p2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.75p + p2 = -2 The p term is -0.75p. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75p + 0.140625 + p2 = -2 + 0.140625 Reorder the terms: 0.140625 + -0.75p + p2 = -2 + 0.140625 Combine like terms: -2 + 0.140625 = -1.859375 0.140625 + -0.75p + p2 = -1.859375 Factor a perfect square on the left side: (p + -0.375)(p + -0.375) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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