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Simplifying (4z3 + -12z2 + -1360z) = 0 Reorder the terms: (-1360z + -12z2 + 4z3) = 0 Remove parenthesis around (-1360z + -12z2 + 4z3) -1360z + -12z2 + 4z3 = 0 Solving -1360z + -12z2 + 4z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-340 + -3z + z2) = 0 Factor a trinomial. 4z((-17 + -1z)(20 + -1z)) = 0 Ignore the factor 4.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 '(-17 + -1z)' equal to zero and attempt to solve: Simplifying -17 + -1z = 0 Solving -17 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1z = 0 + 17 -1z = 0 + 17 Combine like terms: 0 + 17 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17Subproblem 3
Set the factor '(20 + -1z)' equal to zero and attempt to solve: Simplifying 20 + -1z = 0 Solving 20 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 0 + -20 -1z = 0 + -20 Combine like terms: 0 + -20 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20Solution
z = {0, -17, 20}
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