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Simplifying 3z3 + -5z = 0 Reorder the terms: -5z + 3z3 = 0 Solving -5z + 3z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-5 + 3z2) = 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 '(-5 + 3z2)' equal to zero and attempt to solve: Simplifying -5 + 3z2 = 0 Solving -5 + 3z2 = 0 Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3z2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3z2 = 0 + 5 3z2 = 0 + 5 Combine like terms: 0 + 5 = 5 3z2 = 5 Divide each side by '3'. z2 = 1.666666667 Simplifying z2 = 1.666666667 Take the square root of each side: z = {-1.290994449, 1.290994449}Solution
z = {0, -1.290994449, 1.290994449}
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