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Simplifying 56z2 + 15z + -56 = 0 Reorder the terms: -56 + 15z + 56z2 = 0 Solving -56 + 15z + 56z2 = 0 Solving for variable 'z'. Factor a trinomial. (-8 + -7z)(7 + -8z) = 0Subproblem 1
Set the factor '(-8 + -7z)' equal to zero and attempt to solve: Simplifying -8 + -7z = 0 Solving -8 + -7z = 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 + -7z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7z = 0 + 8 -7z = 0 + 8 Combine like terms: 0 + 8 = 8 -7z = 8 Divide each side by '-7'. z = -1.142857143 Simplifying z = -1.142857143Subproblem 2
Set the factor '(7 + -8z)' equal to zero and attempt to solve: Simplifying 7 + -8z = 0 Solving 7 + -8z = 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 + -8z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8z = 0 + -7 -8z = 0 + -7 Combine like terms: 0 + -7 = -7 -8z = -7 Divide each side by '-8'. z = 0.875 Simplifying z = 0.875Solution
z = {-1.142857143, 0.875}
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