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Simplifying -3x2 + 36x + -204 = 0 Reorder the terms: -204 + 36x + -3x2 = 0 Solving -204 + 36x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-68 + 12x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-68 + 12x + -1x2)' equal to zero and attempt to solve: Simplifying -68 + 12x + -1x2 = 0 Solving -68 + 12x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 68 + -12x + x2 = 0 Move the constant term to the right: Add '-68' to each side of the equation. 68 + -12x + -68 + x2 = 0 + -68 Reorder the terms: 68 + -68 + -12x + x2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -12x + x2 = 0 + -68 -12x + x2 = 0 + -68 Combine like terms: 0 + -68 = -68 -12x + x2 = -68 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 = -68 + 36 Reorder the terms: 36 + -12x + x2 = -68 + 36 Combine like terms: -68 + 36 = -32 36 + -12x + x2 = -32 Factor a perfect square on the left side: (x + -6)(x + -6) = -32 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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