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Simplifying 5p(5p) + -4p + 2 = 0 Remove parenthesis around (5p) 5p * 5p + -4p + 2 = 0 Reorder the terms for easier multiplication: 5 * 5p * p + -4p + 2 = 0 Multiply 5 * 5 25p * p + -4p + 2 = 0 Multiply p * p 25p2 + -4p + 2 = 0 Reorder the terms: 2 + -4p + 25p2 = 0 Solving 2 + -4p + 25p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.08 + -0.16p + p2 = 0 Move the constant term to the right: Add '-0.08' to each side of the equation. 0.08 + -0.16p + -0.08 + p2 = 0 + -0.08 Reorder the terms: 0.08 + -0.08 + -0.16p + p2 = 0 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.16p + p2 = 0 + -0.08 -0.16p + p2 = 0 + -0.08 Combine like terms: 0 + -0.08 = -0.08 -0.16p + p2 = -0.08 The p term is -0.16p. Take half its coefficient (-0.08). Square it (0.0064) and add it to both sides. Add '0.0064' to each side of the equation. -0.16p + 0.0064 + p2 = -0.08 + 0.0064 Reorder the terms: 0.0064 + -0.16p + p2 = -0.08 + 0.0064 Combine like terms: -0.08 + 0.0064 = -0.0736 0.0064 + -0.16p + p2 = -0.0736 Factor a perfect square on the left side: (p + -0.08)(p + -0.08) = -0.0736 Can't calculate square root of the right side. The solution to this equation could not be determined.
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