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Simplifying (4z + -2)(5z) = 0 Reorder the terms: (-2 + 4z)(5z) = 0 Remove parenthesis around (5z) (-2 + 4z) * 5z = 0 Reorder the terms for easier multiplication: 5z(-2 + 4z) = 0 (-2 * 5z + 4z * 5z) = 0 (-10z + 20z2) = 0 Solving -10z + 20z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '10z'. 10z(-1 + 2z) = 0 Ignore the factor 10.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 '(-1 + 2z)' equal to zero and attempt to solve: Simplifying -1 + 2z = 0 Solving -1 + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2z = 0 + 1 2z = 0 + 1 Combine like terms: 0 + 1 = 1 2z = 1 Divide each side by '2'. z = 0.5 Simplifying z = 0.5Solution
z = {0, 0.5}
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