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Simplifying 2x(4yz + -4) + -1(5xyz + -3x) = 0 Reorder the terms: 2x(-4 + 4yz) + -1(5xyz + -3x) = 0 (-4 * 2x + 4yz * 2x) + -1(5xyz + -3x) = 0 (-8x + 8xyz) + -1(5xyz + -3x) = 0 Reorder the terms: -8x + 8xyz + -1(-3x + 5xyz) = 0 -8x + 8xyz + (-3x * -1 + 5xyz * -1) = 0 -8x + 8xyz + (3x + -5xyz) = 0 Reorder the terms: -8x + 3x + 8xyz + -5xyz = 0 Combine like terms: -8x + 3x = -5x -5x + 8xyz + -5xyz = 0 Combine like terms: 8xyz + -5xyz = 3xyz -5x + 3xyz = 0 Solving -5x + 3xyz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 3yz) = 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 '(-5 + 3yz)' equal to zero and attempt to solve: Simplifying -5 + 3yz = 0 Solving -5 + 3yz = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3yz = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3yz = 0 + 5 3yz = 0 + 5 Combine like terms: 0 + 5 = 5 3yz = 5 Add '-3yz' to each side of the equation. 3yz + -3yz = 5 + -3yz Combine like terms: 3yz + -3yz = 0 0 = 5 + -3yz Simplifying 0 = 5 + -3yz The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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