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Simplifying 4xy + -32 = 12x Reorder the terms: -32 + 4xy = 12x Solving -32 + 4xy = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + -12x + 4xy = 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -12x + 4xy = 0 Add '32' to each side of the equation. -32 + -12x + 32 + 4xy = 0 + 32 Reorder the terms: -32 + 32 + -12x + 4xy = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -12x + 4xy = 0 + 32 -12x + 4xy = 0 + 32 Combine like terms: 0 + 32 = 32 -12x + 4xy = 32 Reorder the terms: -32 + -12x + 4xy = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + -12x + 4xy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + -3x + xy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + -3x + xy)' equal to zero and attempt to solve: Simplifying -8 + -3x + xy = 0 Solving -8 + -3x + xy = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3x + 8 + xy = 0 + 8 Reorder the terms: -8 + 8 + -3x + xy = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x + xy = 0 + 8 -3x + xy = 0 + 8 Combine like terms: 0 + 8 = 8 -3x + xy = 8 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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