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Simplifying 5z7 + -5z6 + -360z5 = 0 Reorder the terms: -360z5 + -5z6 + 5z7 = 0 Solving -360z5 + -5z6 + 5z7 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z5'. 5z5(-72 + -1z + z2) = 0 Factor a trinomial. 5z5((-8 + -1z)(9 + -1z)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'z5' equal to zero and attempt to solve: Simplifying z5 = 0 Solving z5 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z5 = 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 '(-8 + -1z)' equal to zero and attempt to solve: Simplifying -8 + -1z = 0 Solving -8 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 0 + 8 -1z = 0 + 8 Combine like terms: 0 + 8 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8Subproblem 3
Set the factor '(9 + -1z)' equal to zero and attempt to solve: Simplifying 9 + -1z = 0 Solving 9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 0 + -9 -1z = 0 + -9 Combine like terms: 0 + -9 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9Solution
z = {-8, 9}
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