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Simplifying (x + -32) * 2(y + -3) * 2 = 0 Reorder the terms: (-32 + x) * 2(y + -3) * 2 = 0 Reorder the terms: (-32 + x) * 2(-3 + y) * 2 = 0 Reorder the terms for easier multiplication: 2 * 2(-32 + x)(-3 + y) = 0 Multiply 2 * 2 4(-32 + x)(-3 + y) = 0 Multiply (-32 + x) * (-3 + y) 4(-32(-3 + y) + x(-3 + y)) = 0 4((-3 * -32 + y * -32) + x(-3 + y)) = 0 4((96 + -32y) + x(-3 + y)) = 0 4(96 + -32y + (-3 * x + y * x)) = 0 4(96 + -32y + (-3x + xy)) = 0 Reorder the terms: 4(96 + -3x + xy + -32y) = 0 4(96 + -3x + xy + -32y) = 0 (96 * 4 + -3x * 4 + xy * 4 + -32y * 4) = 0 (384 + -12x + 4xy + -128y) = 0 Solving 384 + -12x + 4xy + -128y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-384' to each side of the equation. 384 + -12x + 4xy + -384 + -128y = 0 + -384 Reorder the terms: 384 + -384 + -12x + 4xy + -128y = 0 + -384 Combine like terms: 384 + -384 = 0 0 + -12x + 4xy + -128y = 0 + -384 -12x + 4xy + -128y = 0 + -384 Combine like terms: 0 + -384 = -384 -12x + 4xy + -128y = -384 Add '128y' to each side of the equation. -12x + 4xy + -128y + 128y = -384 + 128y Combine like terms: -128y + 128y = 0 -12x + 4xy + 0 = -384 + 128y -12x + 4xy = -384 + 128y Reorder the terms: 384 + -12x + 4xy + -128y = -384 + 128y + 384 + -128y Reorder the terms: 384 + -12x + 4xy + -128y = -384 + 384 + 128y + -128y Combine like terms: -384 + 384 = 0 384 + -12x + 4xy + -128y = 0 + 128y + -128y 384 + -12x + 4xy + -128y = 128y + -128y Combine like terms: 128y + -128y = 0 384 + -12x + 4xy + -128y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(96 + -3x + xy + -32y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(96 + -3x + xy + -32y)' equal to zero and attempt to solve: Simplifying 96 + -3x + xy + -32y = 0 Solving 96 + -3x + xy + -32y = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -3x + xy + -96 + -32y = 0 + -96 Reorder the terms: 96 + -96 + -3x + xy + -32y = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -3x + xy + -32y = 0 + -96 -3x + xy + -32y = 0 + -96 Combine like terms: 0 + -96 = -96 -3x + xy + -32y = -96 Add '32y' to each side of the equation. -3x + xy + -32y + 32y = -96 + 32y Combine like terms: -32y + 32y = 0 -3x + xy + 0 = -96 + 32y -3x + xy = -96 + 32y 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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