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Simplifying (2x + 3y)(6x + 9y) = 12x Multiply (2x + 3y) * (6x + 9y) (2x * (6x + 9y) + 3y * (6x + 9y)) = 12x ((6x * 2x + 9y * 2x) + 3y * (6x + 9y)) = 12x Reorder the terms: ((18xy + 12x2) + 3y * (6x + 9y)) = 12x ((18xy + 12x2) + 3y * (6x + 9y)) = 12x (18xy + 12x2 + (6x * 3y + 9y * 3y)) = 12x (18xy + 12x2 + (18xy + 27y2)) = 12x Reorder the terms: (18xy + 18xy + 12x2 + 27y2) = 12x Combine like terms: 18xy + 18xy = 36xy (36xy + 12x2 + 27y2) = 12x Solving 36xy + 12x2 + 27y2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 36xy + 12x2 + 27y2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 36xy + 12x2 + 27y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4x + 12xy + 4x2 + 9y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4x + 12xy + 4x2 + 9y2)' equal to zero and attempt to solve: Simplifying -4x + 12xy + 4x2 + 9y2 = 0 Solving -4x + 12xy + 4x2 + 9y2 = 0 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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