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Simplifying a2 + -14az + 48z2 = 0 Reorder the terms: -14az + a2 + 48z2 = 0 Solving -14az + a2 + 48z2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -8z)(a + -6z) = 0Subproblem 1
Set the factor '(a + -8z)' equal to zero and attempt to solve: Simplifying a + -8z = 0 Solving a + -8z = 0 Move all terms containing a to the left, all other terms to the right. Add '8z' to each side of the equation. a + -8z + 8z = 0 + 8z Combine like terms: -8z + 8z = 0 a + 0 = 0 + 8z a = 0 + 8z Remove the zero: a = 8z Simplifying a = 8zSubproblem 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 = {8z, 6z}
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