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Simplifying 5z3 + -15z2 + -1520z = 0 Reorder the terms: -1520z + -15z2 + 5z3 = 0 Solving -1520z + -15z2 + 5z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(-304 + -3z + z2) = 0 Factor a trinomial. 5z((-16 + -1z)(19 + -1z)) = 0 Ignore the factor 5.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 '(-16 + -1z)' equal to zero and attempt to solve: Simplifying -16 + -1z = 0 Solving -16 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1z = 0 + 16 -1z = 0 + 16 Combine like terms: 0 + 16 = 16 -1z = 16 Divide each side by '-1'. z = -16 Simplifying z = -16Subproblem 3
Set the factor '(19 + -1z)' equal to zero and attempt to solve: Simplifying 19 + -1z = 0 Solving 19 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1z = 0 + -19 -1z = 0 + -19 Combine like terms: 0 + -19 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19Solution
z = {0, -16, 19}
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