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Simplifying 3x2 + 18x + 81 = 25 Reorder the terms: 81 + 18x + 3x2 = 25 Solving 81 + 18x + 3x2 = 25 Solving for variable 'x'. Reorder the terms: 81 + -25 + 18x + 3x2 = 25 + -25 Combine like terms: 81 + -25 = 56 56 + 18x + 3x2 = 25 + -25 Combine like terms: 25 + -25 = 0 56 + 18x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 18.66666667 + 6x + x2 = 0 Move the constant term to the right: Add '-18.66666667' to each side of the equation. 18.66666667 + 6x + -18.66666667 + x2 = 0 + -18.66666667 Reorder the terms: 18.66666667 + -18.66666667 + 6x + x2 = 0 + -18.66666667 Combine like terms: 18.66666667 + -18.66666667 = 0.00000000 0.00000000 + 6x + x2 = 0 + -18.66666667 6x + x2 = 0 + -18.66666667 Combine like terms: 0 + -18.66666667 = -18.66666667 6x + x2 = -18.66666667 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -18.66666667 + 9 Reorder the terms: 9 + 6x + x2 = -18.66666667 + 9 Combine like terms: -18.66666667 + 9 = -9.66666667 9 + 6x + x2 = -9.66666667 Factor a perfect square on the left side: (x + 3)(x + 3) = -9.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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