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Simplifying 10p2 + -13p + 5 = 0 Reorder the terms: 5 + -13p + 10p2 = 0 Solving 5 + -13p + 10p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + -1.3p + p2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -1.3p + -0.5 + p2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -1.3p + p2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.3p + p2 = 0 + -0.5 -1.3p + p2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1.3p + p2 = -0.5 The p term is -1.3p. Take half its coefficient (-0.65). Square it (0.4225) and add it to both sides. Add '0.4225' to each side of the equation. -1.3p + 0.4225 + p2 = -0.5 + 0.4225 Reorder the terms: 0.4225 + -1.3p + p2 = -0.5 + 0.4225 Combine like terms: -0.5 + 0.4225 = -0.0775 0.4225 + -1.3p + p2 = -0.0775 Factor a perfect square on the left side: (p + -0.65)(p + -0.65) = -0.0775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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