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Simplifying z2 + 49z = 0 Reorder the terms: 49z + z2 = 0 Solving 49z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(49 + z) = 0Subproblem 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 '(49 + z)' equal to zero and attempt to solve: Simplifying 49 + z = 0 Solving 49 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + z = 0 + -49 Combine like terms: 49 + -49 = 0 0 + z = 0 + -49 z = 0 + -49 Combine like terms: 0 + -49 = -49 z = -49 Simplifying z = -49Solution
z = {0, -49}
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