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Simplifying 6z2 + 47z + 35 = 0 Reorder the terms: 35 + 47z + 6z2 = 0 Solving 35 + 47z + 6z2 = 0 Solving for variable 'z'. Factor a trinomial. (7 + z)(5 + 6z) = 0Subproblem 1
Set the factor '(7 + z)' equal to zero and attempt to solve: Simplifying 7 + z = 0 Solving 7 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z = 0 + -7 z = 0 + -7 Combine like terms: 0 + -7 = -7 z = -7 Simplifying z = -7Subproblem 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 = {-7, -0.8333333333}
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