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Simplifying 6p2 = 7p + -7 Reorder the terms: 6p2 = -7 + 7p Solving 6p2 = -7 + 7p Solving for variable 'p'. Reorder the terms: 7 + -7p + 6p2 = -7 + 7p + 7 + -7p Reorder the terms: 7 + -7p + 6p2 = -7 + 7 + 7p + -7p Combine like terms: -7 + 7 = 0 7 + -7p + 6p2 = 0 + 7p + -7p 7 + -7p + 6p2 = 7p + -7p Combine like terms: 7p + -7p = 0 7 + -7p + 6p2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + -1.166666667p + p2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667p + -1.166666667 + p2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -1.166666667p + p2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -1.166666667p + p2 = 0 + -1.166666667 -1.166666667p + p2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -1.166666667p + p2 = -1.166666667 The p term is -1.166666667p. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667p + 0.3402777780 + p2 = -1.166666667 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667p + p2 = -1.166666667 + 0.3402777780 Combine like terms: -1.166666667 + 0.3402777780 = -0.826388889 0.3402777780 + -1.166666667p + p2 = -0.826388889 Factor a perfect square on the left side: (p + -0.5833333335)(p + -0.5833333335) = -0.826388889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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