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Simplifying 5z2 + -34z + -7 = 0 Reorder the terms: -7 + -34z + 5z2 = 0 Solving -7 + -34z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (-1 + -5z)(7 + -1z) = 0Subproblem 1
Set the factor '(-1 + -5z)' equal to zero and attempt to solve: Simplifying -1 + -5z = 0 Solving -1 + -5z = 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 + -5z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = 0 + 1 -5z = 0 + 1 Combine like terms: 0 + 1 = 1 -5z = 1 Divide each side by '-5'. z = -0.2 Simplifying z = -0.2Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 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 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Divide each side by '-1'. z = 7 Simplifying z = 7Solution
z = {-0.2, 7}
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