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Simplifying x2 * y2 = 4xy + 3x Multiply x2 * y2 x2y2 = 4xy + 3x Reorder the terms: x2y2 = 3x + 4xy Solving x2y2 = 3x + 4xy Solving for variable 'x'. Reorder the terms: -3x + -4xy + x2y2 = 3x + 4xy + -3x + -4xy Reorder the terms: -3x + -4xy + x2y2 = 3x + -3x + 4xy + -4xy Combine like terms: 3x + -3x = 0 -3x + -4xy + x2y2 = 0 + 4xy + -4xy -3x + -4xy + x2y2 = 4xy + -4xy Combine like terms: 4xy + -4xy = 0 -3x + -4xy + x2y2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + -4y + xy2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-3 + -4y + xy2)' equal to zero and attempt to solve: Simplifying -3 + -4y + xy2 = 0 Reorder the terms: -3 + xy2 + -4y = 0 Solving -3 + xy2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + xy2 + 3 + -4y = 0 + 3 Reorder the terms: -3 + 3 + xy2 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + xy2 + -4y = 0 + 3 xy2 + -4y = 0 + 3 Combine like terms: 0 + 3 = 3 xy2 + -4y = 3 Add '4y' to each side of the equation. xy2 + -4y + 4y = 3 + 4y Combine like terms: -4y + 4y = 0 xy2 + 0 = 3 + 4y xy2 = 3 + 4y Divide each side by 'y2'. x = 3y-2 + 4y-1 Simplifying x = 3y-2 + 4y-1Solution
x = {0, 3y-2 + 4y-1}
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