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Simplifying 3x2 + 36x + 324 = 0 Reorder the terms: 324 + 36x + 3x2 = 0 Solving 324 + 36x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(108 + 12x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(108 + 12x + x2)' equal to zero and attempt to solve: Simplifying 108 + 12x + x2 = 0 Solving 108 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + 12x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + 12x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 12x + x2 = 0 + -108 12x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 12x + x2 = -108 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -108 + 36 Reorder the terms: 36 + 12x + x2 = -108 + 36 Combine like terms: -108 + 36 = -72 36 + 12x + x2 = -72 Factor a perfect square on the left side: (x + 6)(x + 6) = -72 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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