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Simplifying 12xy + 8x + 16 = 0 Reorder the terms: 16 + 8x + 12xy = 0 Solving 16 + 8x + 12xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8x + -16 + 12xy = 0 + -16 Reorder the terms: 16 + -16 + 8x + 12xy = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8x + 12xy = 0 + -16 8x + 12xy = 0 + -16 Combine like terms: 0 + -16 = -16 8x + 12xy = -16 Reorder the terms: 16 + 8x + 12xy = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 8x + 12xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(4 + 2x + 3xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + 2x + 3xy)' equal to zero and attempt to solve: Simplifying 4 + 2x + 3xy = 0 Solving 4 + 2x + 3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -4 + 3xy = 0 + -4 Reorder the terms: 4 + -4 + 2x + 3xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + 3xy = 0 + -4 2x + 3xy = 0 + -4 Combine like terms: 0 + -4 = -4 2x + 3xy = -4 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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