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Simplifying 6z2 + 24z + -192z = 0 Reorder the terms: 24z + -192z + 6z2 = 0 Combine like terms: 24z + -192z = -168z -168z + 6z2 = 0 Solving -168z + 6z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '6z'. 6z(-28 + z) = 0 Ignore the factor 6.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 '(-28 + z)' equal to zero and attempt to solve: Simplifying -28 + z = 0 Solving -28 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + z = 0 + 28 z = 0 + 28 Combine like terms: 0 + 28 = 28 z = 28 Simplifying z = 28Solution
z = {0, 28}
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