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Simplifying 6x + 9y + 4xz + 6yz = 2x + 3y Reorder the terms: 6x + 4xz + 9y + 6yz = 2x + 3y Solving 6x + 4xz + 9y + 6yz = 2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6x + 4xz + 9y + -2x + 6yz = 2x + -2x + 3y Reorder the terms: 6x + -2x + 4xz + 9y + 6yz = 2x + -2x + 3y Combine like terms: 6x + -2x = 4x 4x + 4xz + 9y + 6yz = 2x + -2x + 3y Combine like terms: 2x + -2x = 0 4x + 4xz + 9y + 6yz = 0 + 3y 4x + 4xz + 9y + 6yz = 3y Add '-9y' to each side of the equation. 4x + 4xz + 9y + -9y + 6yz = 3y + -9y Combine like terms: 9y + -9y = 0 4x + 4xz + 0 + 6yz = 3y + -9y 4x + 4xz + 6yz = 3y + -9y Combine like terms: 3y + -9y = -6y 4x + 4xz + 6yz = -6y Add '-6yz' to each side of the equation. 4x + 4xz + 6yz + -6yz = -6y + -6yz Combine like terms: 6yz + -6yz = 0 4x + 4xz + 0 = -6y + -6yz 4x + 4xz = -6y + -6yz Reorder the terms: 4x + 4xz + 6y + 6yz = -6y + 6y + -6yz + 6yz Combine like terms: -6y + 6y = 0 4x + 4xz + 6y + 6yz = 0 + -6yz + 6yz 4x + 4xz + 6y + 6yz = -6yz + 6yz Combine like terms: -6yz + 6yz = 0 4x + 4xz + 6y + 6yz = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2x + 2xz + 3y + 3yz) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x + 2xz + 3y + 3yz)' equal to zero and attempt to solve: Simplifying 2x + 2xz + 3y + 3yz = 0 Solving 2x + 2xz + 3y + 3yz = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x + 2xz + 3y + -3y + 3yz = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 2xz + 0 + 3yz = 0 + -3y 2x + 2xz + 3yz = 0 + -3y Remove the zero: 2x + 2xz + 3yz = -3y Add '-3yz' to each side of the equation. 2x + 2xz + 3yz + -3yz = -3y + -3yz Combine like terms: 3yz + -3yz = 0 2x + 2xz + 0 = -3y + -3yz 2x + 2xz = -3y + -3yz 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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