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Simplifying 11z + 4z2 + 10z2 = 0 Combine like terms: 4z2 + 10z2 = 14z2 11z + 14z2 = 0 Solving 11z + 14z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(11 + 14z) = 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 '(11 + 14z)' equal to zero and attempt to solve: Simplifying 11 + 14z = 0 Solving 11 + 14z = 0 Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14z = 0 + -11 14z = 0 + -11 Combine like terms: 0 + -11 = -11 14z = -11 Divide each side by '14'. z = -0.7857142857 Simplifying z = -0.7857142857Solution
z = {0, -0.7857142857}
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