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Simplifying 9xz2 + -30xz + -96x = 0 Reorder the terms: -96x + -30xz + 9xz2 = 0 Solving -96x + -30xz + 9xz2 = 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(-32 + -10z + 3z2) = 0 Factor a trinomial. 3x((-2 + -1z)(16 + -3z)) = 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 '(-2 + -1z)' equal to zero and attempt to solve: Simplifying -2 + -1z = 0 Solving -2 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = 0 + 2 -1z = 0 + 2 Combine like terms: 0 + 2 = 2 -1z = 2 Add 'z' to each side of the equation. -1z + z = 2 + z Combine like terms: -1z + z = 0 0 = 2 + z Simplifying 0 = 2 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(16 + -3z)' equal to zero and attempt to solve: Simplifying 16 + -3z = 0 Solving 16 + -3z = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3z = 0 + -16 -3z = 0 + -16 Combine like terms: 0 + -16 = -16 -3z = -16 Add '3z' to each side of the equation. -3z + 3z = -16 + 3z Combine like terms: -3z + 3z = 0 0 = -16 + 3z Simplifying 0 = -16 + 3z 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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