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Simplifying 56z2 = 22z Solving 56z2 = 22z Solving for variable 'z'. Reorder the terms: -22z + 56z2 = 22z + -22z Combine like terms: 22z + -22z = 0 -22z + 56z2 = 0 Factor out the Greatest Common Factor (GCF), '2z'. 2z(-11 + 28z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(-11 + 28z)' equal to zero and attempt to solve: Simplifying -11 + 28z = 0 Solving -11 + 28z = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 28z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 28z = 0 + 11 28z = 0 + 11 Combine like terms: 0 + 11 = 11 28z = 11 Divide each side by '28'. z = 0.3928571429 Simplifying z = 0.3928571429Solution
z = {0, 0.3928571429}
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