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Simplifying 3X2 + 6X + 180 = 0 Reorder the terms: 180 + 6X + 3X2 = 0 Solving 180 + 6X + 3X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '3'. 3(60 + 2X + X2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(60 + 2X + X2)' equal to zero and attempt to solve: Simplifying 60 + 2X + X2 = 0 Solving 60 + 2X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-60' to each side of the equation. 60 + 2X + -60 + X2 = 0 + -60 Reorder the terms: 60 + -60 + 2X + X2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 2X + X2 = 0 + -60 2X + X2 = 0 + -60 Combine like terms: 0 + -60 = -60 2X + X2 = -60 The X term is 2X. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2X + 1 + X2 = -60 + 1 Reorder the terms: 1 + 2X + X2 = -60 + 1 Combine like terms: -60 + 1 = -59 1 + 2X + X2 = -59 Factor a perfect square on the left side: (X + 1)(X + 1) = -59 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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