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Simplifying 17p * 10p + 12 = -13 + 7p Reorder the terms for easier multiplication: 17 * 10p * p + 12 = -13 + 7p Multiply 17 * 10 170p * p + 12 = -13 + 7p Multiply p * p 170p2 + 12 = -13 + 7p Reorder the terms: 12 + 170p2 = -13 + 7p Solving 12 + 170p2 = -13 + 7p Solving for variable 'p'. Reorder the terms: 12 + 13 + -7p + 170p2 = -13 + 7p + 13 + -7p Combine like terms: 12 + 13 = 25 25 + -7p + 170p2 = -13 + 7p + 13 + -7p Reorder the terms: 25 + -7p + 170p2 = -13 + 13 + 7p + -7p Combine like terms: -13 + 13 = 0 25 + -7p + 170p2 = 0 + 7p + -7p 25 + -7p + 170p2 = 7p + -7p Combine like terms: 7p + -7p = 0 25 + -7p + 170p2 = 0 Begin completing the square. Divide all terms by 170 the coefficient of the squared term: Divide each side by '170'. 0.1470588235 + -0.04117647059p + p2 = 0.0 Move the constant term to the right: Add '-0.1470588235' to each side of the equation. 0.1470588235 + -0.04117647059p + -0.1470588235 + p2 = 0.0 + -0.1470588235 Reorder the terms: 0.1470588235 + -0.1470588235 + -0.04117647059p + p2 = 0.0 + -0.1470588235 Combine like terms: 0.1470588235 + -0.1470588235 = 0.0000000000 0.0000000000 + -0.04117647059p + p2 = 0.0 + -0.1470588235 -0.04117647059p + p2 = 0.0 + -0.1470588235 Combine like terms: 0.0 + -0.1470588235 = -0.1470588235 -0.04117647059p + p2 = -0.1470588235 The p term is -0.04117647059p. Take half its coefficient (-0.0205882353). Square it (0.0004238754328) and add it to both sides. Add '0.0004238754328' to each side of the equation. -0.04117647059p + 0.0004238754328 + p2 = -0.1470588235 + 0.0004238754328 Reorder the terms: 0.0004238754328 + -0.04117647059p + p2 = -0.1470588235 + 0.0004238754328 Combine like terms: -0.1470588235 + 0.0004238754328 = -0.1466349480672 0.0004238754328 + -0.04117647059p + p2 = -0.1466349480672 Factor a perfect square on the left side: (p + -0.0205882353)(p + -0.0205882353) = -0.1466349480672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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