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Simplifying 6p2 + -2p + -8p + 21 = 0 Reorder the terms: 21 + -2p + -8p + 6p2 = 0 Combine like terms: -2p + -8p = -10p 21 + -10p + 6p2 = 0 Solving 21 + -10p + 6p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3.5 + -1.666666667p + p2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -1.666666667p + -3.5 + p2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -1.666666667p + p2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.666666667p + p2 = 0 + -3.5 -1.666666667p + p2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -1.666666667p + p2 = -3.5 The p term is -1.666666667p. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667p + 0.6944444447 + p2 = -3.5 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667p + p2 = -3.5 + 0.6944444447 Combine like terms: -3.5 + 0.6944444447 = -2.8055555553 0.6944444447 + -1.666666667p + p2 = -2.8055555553 Factor a perfect square on the left side: (p + -0.8333333335)(p + -0.8333333335) = -2.8055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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