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Simplifying 7z2 + 37z + -30 = 0 Reorder the terms: -30 + 37z + 7z2 = 0 Solving -30 + 37z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (-6 + -1z)(5 + -7z) = 0Subproblem 1
Set the factor '(-6 + -1z)' equal to zero and attempt to solve: Simplifying -6 + -1z = 0 Solving -6 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = 0 + 6 -1z = 0 + 6 Combine like terms: 0 + 6 = 6 -1z = 6 Divide each side by '-1'. z = -6 Simplifying z = -6Subproblem 2
Set the factor '(5 + -7z)' equal to zero and attempt to solve: Simplifying 5 + -7z = 0 Solving 5 + -7z = 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 + -7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7z = 0 + -5 -7z = 0 + -5 Combine like terms: 0 + -5 = -5 -7z = -5 Divide each side by '-7'. z = 0.7142857143 Simplifying z = 0.7142857143Solution
z = {-6, 0.7142857143}
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