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Simplifying 12xy + -15xz + 30x = 0 Reorder the terms: 30x + 12xy + -15xz = 0 Solving 30x + 12xy + -15xz = 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), '3x'. 3x(10 + 4y + -5z) = 0 Ignore the factor 3.Subproblem 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 '(10 + 4y + -5z)' equal to zero and attempt to solve: Simplifying 10 + 4y + -5z = 0 Solving 10 + 4y + -5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 4y + -10 + -5z = 0 + -10 Reorder the terms: 10 + -10 + 4y + -5z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4y + -5z = 0 + -10 4y + -5z = 0 + -10 Combine like terms: 0 + -10 = -10 4y + -5z = -10 Add '-4y' to each side of the equation. 4y + -4y + -5z = -10 + -4y Combine like terms: 4y + -4y = 0 0 + -5z = -10 + -4y -5z = -10 + -4y Add '5z' to each side of the equation. -5z + 5z = -10 + -4y + 5z Combine like terms: -5z + 5z = 0 0 = -10 + -4y + 5z Simplifying 0 = -10 + -4y + 5z 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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