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Simplifying zx2 + 9 + 2 = 0 Reorder the terms: 9 + 2 + x2z = 0 Combine like terms: 9 + 2 = 11 11 + x2z = 0 Solving 11 + x2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x2z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x2z = 0 + -11 x2z = 0 + -11 Combine like terms: 0 + -11 = -11 x2z = -11 Divide each side by 'z'. x2 = -11z-1 Simplifying x2 = -11z-1 Combine like terms: -11z-1 + 11z-1 = 0 x2 + 11z-1 = 0 Factor out the Greatest Common Factor (GCF), 'z-1'. z-1(x2z + 11) = 0Subproblem 1
Set the factor 'z-1' equal to zero and attempt to solve: Simplifying z-1 = 0 Solving z-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z-1' to each side of the equation. z-1 + -1z-1 = 0 + -1z-1 Remove the zero: 0 = -1z-1 Simplifying 0 = -1z-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x2z + 11)' equal to zero and attempt to solve: Simplifying x2z + 11 = 0 Reorder the terms: 11 + x2z = 0 Solving 11 + x2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x2z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x2z = 0 + -11 x2z = 0 + -11 Combine like terms: 0 + -11 = -11 x2z = -11 Divide each side by 'z'. x2 = -11z-1 Simplifying x2 = -11z-1 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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