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Simplifying 7z(8z + -7) = 0 Reorder the terms: 7z(-7 + 8z) = 0 (-7 * 7z + 8z * 7z) = 0 (-49z + 56z2) = 0 Solving -49z + 56z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(-7 + 8z) = 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 '(-7 + 8z)' equal to zero and attempt to solve: Simplifying -7 + 8z = 0 Solving -7 + 8z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 0 + 7 8z = 0 + 7 Combine like terms: 0 + 7 = 7 8z = 7 Divide each side by '8'. z = 0.875 Simplifying z = 0.875Solution
z = {0, 0.875}
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