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Simplifying 3z3 + -9z2 + -1254z = 0 Reorder the terms: -1254z + -9z2 + 3z3 = 0 Solving -1254z + -9z2 + 3z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '3z'. 3z(-418 + -3z + z2) = 0 Factor a trinomial. 3z((-19 + -1z)(22 + -1z)) = 0 Ignore the factor 3.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 '(-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 = -19Subproblem 3
Set the factor '(22 + -1z)' equal to zero and attempt to solve: Simplifying 22 + -1z = 0 Solving 22 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1z = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1z = 0 + -22 -1z = 0 + -22 Combine like terms: 0 + -22 = -22 -1z = -22 Divide each side by '-1'. z = 22 Simplifying z = 22Solution
z = {0, -19, 22}
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