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Simplifying 3x2 + 39x = -180 Reorder the terms: 39x + 3x2 = -180 Solving 39x + 3x2 = -180 Solving for variable 'x'. Reorder the terms: 180 + 39x + 3x2 = -180 + 180 Combine like terms: -180 + 180 = 0 180 + 39x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(60 + 13x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(60 + 13x + x2)' equal to zero and attempt to solve: Simplifying 60 + 13x + x2 = 0 Solving 60 + 13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 13x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + 13x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 13x + x2 = 0 + -60 13x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 13x + x2 = -60 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -60 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -60 + 42.25 Combine like terms: -60 + 42.25 = -17.75 42.25 + 13x + x2 = -17.75 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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