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Simplifying (4x + -6)(4y + 2) = 64 Reorder the terms: (-6 + 4x)(4y + 2) = 64 Reorder the terms: (-6 + 4x)(2 + 4y) = 64 Multiply (-6 + 4x) * (2 + 4y) (-6(2 + 4y) + 4x * (2 + 4y)) = 64 ((2 * -6 + 4y * -6) + 4x * (2 + 4y)) = 64 ((-12 + -24y) + 4x * (2 + 4y)) = 64 (-12 + -24y + (2 * 4x + 4y * 4x)) = 64 (-12 + -24y + (8x + 16xy)) = 64 Reorder the terms: (-12 + 8x + 16xy + -24y) = 64 (-12 + 8x + 16xy + -24y) = 64 Solving -12 + 8x + 16xy + -24y = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 8x + 16xy + 12 + -24y = 64 + 12 Reorder the terms: -12 + 12 + 8x + 16xy + -24y = 64 + 12 Combine like terms: -12 + 12 = 0 0 + 8x + 16xy + -24y = 64 + 12 8x + 16xy + -24y = 64 + 12 Combine like terms: 64 + 12 = 76 8x + 16xy + -24y = 76 Add '24y' to each side of the equation. 8x + 16xy + -24y + 24y = 76 + 24y Combine like terms: -24y + 24y = 0 8x + 16xy + 0 = 76 + 24y 8x + 16xy = 76 + 24y Reorder the terms: -76 + 8x + 16xy + -24y = 76 + 24y + -76 + -24y Reorder the terms: -76 + 8x + 16xy + -24y = 76 + -76 + 24y + -24y Combine like terms: 76 + -76 = 0 -76 + 8x + 16xy + -24y = 0 + 24y + -24y -76 + 8x + 16xy + -24y = 24y + -24y Combine like terms: 24y + -24y = 0 -76 + 8x + 16xy + -24y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-19 + 2x + 4xy + -6y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-19 + 2x + 4xy + -6y)' equal to zero and attempt to solve: Simplifying -19 + 2x + 4xy + -6y = 0 Solving -19 + 2x + 4xy + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 2x + 4xy + 19 + -6y = 0 + 19 Reorder the terms: -19 + 19 + 2x + 4xy + -6y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 2x + 4xy + -6y = 0 + 19 2x + 4xy + -6y = 0 + 19 Combine like terms: 0 + 19 = 19 2x + 4xy + -6y = 19 Add '6y' to each side of the equation. 2x + 4xy + -6y + 6y = 19 + 6y Combine like terms: -6y + 6y = 0 2x + 4xy + 0 = 19 + 6y 2x + 4xy = 19 + 6y 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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