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Simplifying 9xy + -21xyz = 3xy(3 + -7) Combine like terms: 3 + -7 = -4 9xy + -21xyz = 3xy(-4) Reorder the terms for easier multiplication: 9xy + -21xyz = 3 * -4xy Multiply 3 * -4 9xy + -21xyz = -12xy Solving 9xy + -21xyz = -12xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12xy' to each side of the equation. 9xy + 12xy + -21xyz = -12xy + 12xy Combine like terms: 9xy + 12xy = 21xy 21xy + -21xyz = -12xy + 12xy Combine like terms: -12xy + 12xy = 0 21xy + -21xyz = 0 Factor out the Greatest Common Factor (GCF), '21xy'. 21xy(1 + -1z) = 0 Ignore the factor 21.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(1 + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1z = 0 Solving 1 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 0 + -1 -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1z = -1 Add 'z' to each side of the equation. -1z + z = -1 + z Combine like terms: -1z + z = 0 0 = -1 + z Simplifying 0 = -1 + z 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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