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Simplifying 3x2 + 35 + 29 = 3(x + 3) Reorder the terms: 35 + 29 + 3x2 = 3(x + 3) Combine like terms: 35 + 29 = 64 64 + 3x2 = 3(x + 3) Reorder the terms: 64 + 3x2 = 3(3 + x) 64 + 3x2 = (3 * 3 + x * 3) 64 + 3x2 = (9 + 3x) Solving 64 + 3x2 = 9 + 3x Solving for variable 'x'. Reorder the terms: 64 + -9 + -3x + 3x2 = 9 + 3x + -9 + -3x Combine like terms: 64 + -9 = 55 55 + -3x + 3x2 = 9 + 3x + -9 + -3x Reorder the terms: 55 + -3x + 3x2 = 9 + -9 + 3x + -3x Combine like terms: 9 + -9 = 0 55 + -3x + 3x2 = 0 + 3x + -3x 55 + -3x + 3x2 = 3x + -3x Combine like terms: 3x + -3x = 0 55 + -3x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 18.33333333 + -1x + x2 = 0 Move the constant term to the right: Add '-18.33333333' to each side of the equation. 18.33333333 + -1x + -18.33333333 + x2 = 0 + -18.33333333 Reorder the terms: 18.33333333 + -18.33333333 + -1x + x2 = 0 + -18.33333333 Combine like terms: 18.33333333 + -18.33333333 = 0.00000000 0.00000000 + -1x + x2 = 0 + -18.33333333 -1x + x2 = 0 + -18.33333333 Combine like terms: 0 + -18.33333333 = -18.33333333 -1x + x2 = -18.33333333 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -18.33333333 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -18.33333333 + 0.25 Combine like terms: -18.33333333 + 0.25 = -18.08333333 0.25 + -1x + x2 = -18.08333333 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -18.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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