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Simplifying 5x(4y + 2) + -12xy = 24 Reorder the terms: 5x(2 + 4y) + -12xy = 24 (2 * 5x + 4y * 5x) + -12xy = 24 (10x + 20xy) + -12xy = 24 Combine like terms: 20xy + -12xy = 8xy 10x + 8xy = 24 Solving 10x + 8xy = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Reorder the terms: -24 + 10x + 8xy = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 10x + 8xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 5x + 4xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 5x + 4xy)' equal to zero and attempt to solve: Simplifying -12 + 5x + 4xy = 0 Solving -12 + 5x + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 5x + 12 + 4xy = 0 + 12 Reorder the terms: -12 + 12 + 5x + 4xy = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x + 4xy = 0 + 12 5x + 4xy = 0 + 12 Combine like terms: 0 + 12 = 12 5x + 4xy = 12 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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