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Simplifying 4z(7z + -2) = 0 Reorder the terms: 4z(-2 + 7z) = 0 (-2 * 4z + 7z * 4z) = 0 (-8z + 28z2) = 0 Solving -8z + 28z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-2 + 7z) = 0 Ignore the factor 4.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 + 7z)' equal to zero and attempt to solve: Simplifying -2 + 7z = 0 Solving -2 + 7z = 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 + 7z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7z = 0 + 2 7z = 0 + 2 Combine like terms: 0 + 2 = 2 7z = 2 Divide each side by '7'. z = 0.2857142857 Simplifying z = 0.2857142857Solution
z = {0, 0.2857142857}
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