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Simplifying 5z2 + 66z = z3 Reorder the terms: 66z + 5z2 = z3 Solving 66z + 5z2 = z3 Solving for variable 'z'. Combine like terms: z3 + -1z3 = 0 66z + 5z2 + -1z3 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(66 + 5z + -1z2) = 0 Factor a trinomial. z((11 + -1z)(6 + 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 '(11 + -1z)' equal to zero and attempt to solve: Simplifying 11 + -1z = 0 Solving 11 + -1z = 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 + -1z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1z = 0 + -11 -1z = 0 + -11 Combine like terms: 0 + -11 = -11 -1z = -11 Divide each side by '-1'. z = 11 Simplifying z = 11Subproblem 3
Set the factor '(6 + z)' equal to zero and attempt to solve: Simplifying 6 + z = 0 Solving 6 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + z = 0 + -6 z = 0 + -6 Combine like terms: 0 + -6 = -6 z = -6 Simplifying z = -6Solution
z = {0, 11, -6}
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