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Simplifying 4XY + 2YZ = 8X Solving 4XY + 2YZ = 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 4XY + -8X + 2YZ = 8X + -8X Reorder the terms: -8X + 4XY + 2YZ = 8X + -8X Combine like terms: 8X + -8X = 0 -8X + 4XY + 2YZ = 0 Add '-2YZ' to each side of the equation. -8X + 4XY + 2YZ + -2YZ = 0 + -2YZ Combine like terms: 2YZ + -2YZ = 0 -8X + 4XY + 0 = 0 + -2YZ -8X + 4XY = 0 + -2YZ Remove the zero: -8X + 4XY = -2YZ Combine like terms: -2YZ + 2YZ = 0 -8X + 4XY + 2YZ = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4X + 2XY + YZ) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4X + 2XY + YZ)' equal to zero and attempt to solve: Simplifying -4X + 2XY + YZ = 0 Solving -4X + 2XY + YZ = 0 Move all terms containing X to the left, all other terms to the right. Add '-1YZ' to each side of the equation. -4X + 2XY + YZ + -1YZ = 0 + -1YZ Combine like terms: YZ + -1YZ = 0 -4X + 2XY + 0 = 0 + -1YZ -4X + 2XY = 0 + -1YZ Remove the zero: -4X + 2XY = -1YZ 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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