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Simplifying 29x2 + 150x + 209 = 0 Reorder the terms: 209 + 150x + 29x2 = 0 Solving 209 + 150x + 29x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 29 the coefficient of the squared term: Divide each side by '29'. 7.206896552 + 5.172413793x + x2 = 0 Move the constant term to the right: Add '-7.206896552' to each side of the equation. 7.206896552 + 5.172413793x + -7.206896552 + x2 = 0 + -7.206896552 Reorder the terms: 7.206896552 + -7.206896552 + 5.172413793x + x2 = 0 + -7.206896552 Combine like terms: 7.206896552 + -7.206896552 = 0.000000000 0.000000000 + 5.172413793x + x2 = 0 + -7.206896552 5.172413793x + x2 = 0 + -7.206896552 Combine like terms: 0 + -7.206896552 = -7.206896552 5.172413793x + x2 = -7.206896552 The x term is 5.172413793x. Take half its coefficient (2.586206897). Square it (6.688466114) and add it to both sides. Add '6.688466114' to each side of the equation. 5.172413793x + 6.688466114 + x2 = -7.206896552 + 6.688466114 Reorder the terms: 6.688466114 + 5.172413793x + x2 = -7.206896552 + 6.688466114 Combine like terms: -7.206896552 + 6.688466114 = -0.518430438 6.688466114 + 5.172413793x + x2 = -0.518430438 Factor a perfect square on the left side: (x + 2.586206897)(x + 2.586206897) = -0.518430438 Can't calculate square root of the right side. The solution to this equation could not be determined.
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