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Simplifying 8z2 + -3z + -5z2 + -4z = 0 Reorder the terms: -3z + -4z + 8z2 + -5z2 = 0 Combine like terms: -3z + -4z = -7z -7z + 8z2 + -5z2 = 0 Combine like terms: 8z2 + -5z2 = 3z2 -7z + 3z2 = 0 Solving -7z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-7 + 3z) = 0Subproblem 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 + 3z)' equal to zero and attempt to solve: Simplifying -7 + 3z = 0 Solving -7 + 3z = 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 + 3z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 0 + 7 3z = 0 + 7 Combine like terms: 0 + 7 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333Solution
z = {0, 2.333333333}
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