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Simplifying 45z2 + 56z + -45 = 0 Reorder the terms: -45 + 56z + 45z2 = 0 Solving -45 + 56z + 45z2 = 0 Solving for variable 'z'. Factor a trinomial. (-9 + -5z)(5 + -9z) = 0Subproblem 1
Set the factor '(-9 + -5z)' equal to zero and attempt to solve: Simplifying -9 + -5z = 0 Solving -9 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5z = 0 + 9 -5z = 0 + 9 Combine like terms: 0 + 9 = 9 -5z = 9 Divide each side by '-5'. z = -1.8 Simplifying z = -1.8Subproblem 2
Set the factor '(5 + -9z)' equal to zero and attempt to solve: Simplifying 5 + -9z = 0 Solving 5 + -9z = 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 + -9z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9z = 0 + -5 -9z = 0 + -5 Combine like terms: 0 + -5 = -5 -9z = -5 Divide each side by '-9'. z = 0.5555555556 Simplifying z = 0.5555555556Solution
z = {-1.8, 0.5555555556}
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