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Simplifying 3x2 + -108x + 2187 = 0 Reorder the terms: 2187 + -108x + 3x2 = 0 Solving 2187 + -108x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(729 + -36x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(729 + -36x + x2)' equal to zero and attempt to solve: Simplifying 729 + -36x + x2 = 0 Solving 729 + -36x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-729' to each side of the equation. 729 + -36x + -729 + x2 = 0 + -729 Reorder the terms: 729 + -729 + -36x + x2 = 0 + -729 Combine like terms: 729 + -729 = 0 0 + -36x + x2 = 0 + -729 -36x + x2 = 0 + -729 Combine like terms: 0 + -729 = -729 -36x + x2 = -729 The x term is -36x. Take half its coefficient (-18). Square it (324) and add it to both sides. Add '324' to each side of the equation. -36x + 324 + x2 = -729 + 324 Reorder the terms: 324 + -36x + x2 = -729 + 324 Combine like terms: -729 + 324 = -405 324 + -36x + x2 = -405 Factor a perfect square on the left side: (x + -18)(x + -18) = -405 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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