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Simplifying 5z2 + 15z10 = 0 Solving 5z2 + 15z10 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z2'. 5z2(1 + 3z8) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z2 = 0 Take the square root of each side: z = {0}Subproblem 2
Set the factor '(1 + 3z8)' equal to zero and attempt to solve: Simplifying 1 + 3z8 = 0 Solving 1 + 3z8 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3z8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3z8 = 0 + -1 3z8 = 0 + -1 Combine like terms: 0 + -1 = -1 3z8 = -1 Divide each side by '3'. z8 = -0.3333333333 Simplifying z8 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
z = {0}
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