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Simplifying 56z2 + 9 = -45z Reorder the terms: 9 + 56z2 = -45z Solving 9 + 56z2 = -45z Solving for variable 'z'. Reorder the terms: 9 + 45z + 56z2 = -45z + 45z Combine like terms: -45z + 45z = 0 9 + 45z + 56z2 = 0 Factor a trinomial. (3 + 7z)(3 + 8z) = 0Subproblem 1
Set the factor '(3 + 7z)' equal to zero and attempt to solve: Simplifying 3 + 7z = 0 Solving 3 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 0 + -3 7z = 0 + -3 Combine like terms: 0 + -3 = -3 7z = -3 Divide each side by '7'. z = -0.4285714286 Simplifying z = -0.4285714286Subproblem 2
Set the factor '(3 + 8z)' equal to zero and attempt to solve: Simplifying 3 + 8z = 0 Solving 3 + 8z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8z = 0 + -3 8z = 0 + -3 Combine like terms: 0 + -3 = -3 8z = -3 Divide each side by '8'. z = -0.375 Simplifying z = -0.375Solution
z = {-0.4285714286, -0.375}
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