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Simplifying a2 + 12az + 36z2 = 0 Reorder the terms: 12az + a2 + 36z2 = 0 Solving 12az + a2 + 36z2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 6z)(a + 6z) = 0Subproblem 1
Set the factor '(a + 6z)' equal to zero and attempt to solve: Simplifying a + 6z = 0 Solving a + 6z = 0 Move all terms containing a to the left, all other terms to the right. Add '-6z' to each side of the equation. a + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 a + 0 = 0 + -6z a = 0 + -6z Remove the zero: a = -6z Simplifying a = -6zSubproblem 2
Set the factor '(a + 6z)' equal to zero and attempt to solve: Simplifying a + 6z = 0 Solving a + 6z = 0 Move all terms containing a to the left, all other terms to the right. Add '-6z' to each side of the equation. a + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 a + 0 = 0 + -6z a = 0 + -6z Remove the zero: a = -6z Simplifying a = -6zSolution
a = {-6z, -6z}
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