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Simplifying 4p2 + -3p + 16 = 0 Reorder the terms: 16 + -3p + 4p2 = 0 Solving 16 + -3p + 4p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 4 + -0.75p + p2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -0.75p + -4 + p2 = 0 + -4 Reorder the terms: 4 + -4 + -0.75p + p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -0.75p + p2 = 0 + -4 -0.75p + p2 = 0 + -4 Combine like terms: 0 + -4 = -4 -0.75p + p2 = -4 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 = -4 + 0.140625 Reorder the terms: 0.140625 + -0.75p + p2 = -4 + 0.140625 Combine like terms: -4 + 0.140625 = -3.859375 0.140625 + -0.75p + p2 = -3.859375 Factor a perfect square on the left side: (p + -0.375)(p + -0.375) = -3.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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