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Simplifying z + 6z2 + -5 = 0 Reorder the terms: -5 + z + 6z2 = 0 Solving -5 + z + 6z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -1z)(5 + -6z) = 0Subproblem 1
Set the factor '(-1 + -1z)' equal to zero and attempt to solve: Simplifying -1 + -1z = 0 Solving -1 + -1z = 0 Move all terms containing z 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 Divide each side by '-1'. z = -1 Simplifying z = -1Subproblem 2
Set the factor '(5 + -6z)' equal to zero and attempt to solve: Simplifying 5 + -6z = 0 Solving 5 + -6z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6z = 0 + -5 -6z = 0 + -5 Combine like terms: 0 + -5 = -5 -6z = -5 Divide each side by '-6'. z = 0.8333333333 Simplifying z = 0.8333333333Solution
z = {-1, 0.8333333333}
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