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Simplifying 36z + -9z2 + -1z3 = 0 Solving 36z + -9z2 + -1z3 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(36 + -9z + -1z2) = 0 Factor a trinomial. z((3 + -1z)(12 + z)) = 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 '(3 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3Subproblem 3
Set the factor '(12 + z)' equal to zero and attempt to solve: Simplifying 12 + z = 0 Solving 12 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + z = 0 + -12 z = 0 + -12 Combine like terms: 0 + -12 = -12 z = -12 Simplifying z = -12Solution
z = {0, 3, -12}
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