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Simplifying 3p2 + 5p + 76 = 1 Reorder the terms: 76 + 5p + 3p2 = 1 Solving 76 + 5p + 3p2 = 1 Solving for variable 'p'. Reorder the terms: 76 + -1 + 5p + 3p2 = 1 + -1 Combine like terms: 76 + -1 = 75 75 + 5p + 3p2 = 1 + -1 Combine like terms: 1 + -1 = 0 75 + 5p + 3p2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 25 + 1.666666667p + p2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + 1.666666667p + -25 + p2 = 0 + -25 Reorder the terms: 25 + -25 + 1.666666667p + p2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1.666666667p + p2 = 0 + -25 1.666666667p + p2 = 0 + -25 Combine like terms: 0 + -25 = -25 1.666666667p + p2 = -25 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 = -25 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667p + p2 = -25 + 0.6944444447 Combine like terms: -25 + 0.6944444447 = -24.3055555553 0.6944444447 + 1.666666667p + p2 = -24.3055555553 Factor a perfect square on the left side: (p + 0.8333333335)(p + 0.8333333335) = -24.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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