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Simplifying (2z + 2)(z5 + -3) + 6 = 0 Reorder the terms: (2 + 2z)(z5 + -3) + 6 = 0 Reorder the terms: (2 + 2z)(-3 + z5) + 6 = 0 Multiply (2 + 2z) * (-3 + z5) (2(-3 + z5) + 2z * (-3 + z5)) + 6 = 0 ((-3 * 2 + z5 * 2) + 2z * (-3 + z5)) + 6 = 0 ((-6 + 2z5) + 2z * (-3 + z5)) + 6 = 0 (-6 + 2z5 + (-3 * 2z + z5 * 2z)) + 6 = 0 (-6 + 2z5 + (-6z + 2z6)) + 6 = 0 Reorder the terms: (-6 + -6z + 2z5 + 2z6) + 6 = 0 (-6 + -6z + 2z5 + 2z6) + 6 = 0 Reorder the terms: -6 + 6 + -6z + 2z5 + 2z6 = 0 Combine like terms: -6 + 6 = 0 0 + -6z + 2z5 + 2z6 = 0 -6z + 2z5 + 2z6 = 0 Solving -6z + 2z5 + 2z6 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(-3 + z4 + z5) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-3 + z4 + z5)' equal to zero and attempt to solve: Simplifying -3 + z4 + z5 = 0 Solving -3 + z4 + z5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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