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Simplifying 10p2 = 4p + -1 Reorder the terms: 10p2 = -1 + 4p Solving 10p2 = -1 + 4p Solving for variable 'p'. Reorder the terms: 1 + -4p + 10p2 = -1 + 4p + 1 + -4p Reorder the terms: 1 + -4p + 10p2 = -1 + 1 + 4p + -4p Combine like terms: -1 + 1 = 0 1 + -4p + 10p2 = 0 + 4p + -4p 1 + -4p + 10p2 = 4p + -4p Combine like terms: 4p + -4p = 0 1 + -4p + 10p2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + -0.4p + p2 = 0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + -0.4p + -0.1 + p2 = 0 + -0.1 Reorder the terms: 0.1 + -0.1 + -0.4p + p2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -0.4p + p2 = 0 + -0.1 -0.4p + p2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 -0.4p + p2 = -0.1 The p term is -0.4p. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4p + 0.04 + p2 = -0.1 + 0.04 Reorder the terms: 0.04 + -0.4p + p2 = -0.1 + 0.04 Combine like terms: -0.1 + 0.04 = -0.06 0.04 + -0.4p + p2 = -0.06 Factor a perfect square on the left side: (p + -0.2)(p + -0.2) = -0.06 Can't calculate square root of the right side. The solution to this equation could not be determined.
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