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Simplifying 7p2 + 6p + 45 = 0 Reorder the terms: 45 + 6p + 7p2 = 0 Solving 45 + 6p + 7p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.428571429 + 0.8571428571p + p2 = 0 Move the constant term to the right: Add '-6.428571429' to each side of the equation. 6.428571429 + 0.8571428571p + -6.428571429 + p2 = 0 + -6.428571429 Reorder the terms: 6.428571429 + -6.428571429 + 0.8571428571p + p2 = 0 + -6.428571429 Combine like terms: 6.428571429 + -6.428571429 = 0.000000000 0.000000000 + 0.8571428571p + p2 = 0 + -6.428571429 0.8571428571p + p2 = 0 + -6.428571429 Combine like terms: 0 + -6.428571429 = -6.428571429 0.8571428571p + p2 = -6.428571429 The p term is 0.8571428571p. Take half its coefficient (0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. 0.8571428571p + 0.1836734694 + p2 = -6.428571429 + 0.1836734694 Reorder the terms: 0.1836734694 + 0.8571428571p + p2 = -6.428571429 + 0.1836734694 Combine like terms: -6.428571429 + 0.1836734694 = -6.2448979596 0.1836734694 + 0.8571428571p + p2 = -6.2448979596 Factor a perfect square on the left side: (p + 0.4285714286)(p + 0.4285714286) = -6.2448979596 Can't calculate square root of the right side. The solution to this equation could not be determined.
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