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Simplifying (5z + -2)(8z + -1z) = 0 Reorder the terms: (-2 + 5z)(8z + -1z) = 0 Combine like terms: 8z + -1z = 7z (-2 + 5z)(7z) = 0 Remove parenthesis around (7z) (-2 + 5z) * 7z = 0 Reorder the terms for easier multiplication: 7z(-2 + 5z) = 0 (-2 * 7z + 5z * 7z) = 0 (-14z + 35z2) = 0 Solving -14z + 35z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(-2 + 5z) = 0 Ignore the factor 7.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 '(-2 + 5z)' equal to zero and attempt to solve: Simplifying -2 + 5z = 0 Solving -2 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5z = 0 + 2 5z = 0 + 2 Combine like terms: 0 + 2 = 2 5z = 2 Divide each side by '5'. z = 0.4 Simplifying z = 0.4Solution
z = {0, 0.4}
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