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Simplifying 9a2 + 12az2 + 4z4 = 0 Reorder the terms: 12az2 + 9a2 + 4z4 = 0 Solving 12az2 + 9a2 + 4z4 = 0 Solving for variable 'a'. Factor a trinomial. (3a + 2z2)(3a + 2z2) = 0Subproblem 1
Set the factor '(3a + 2z2)' equal to zero and attempt to solve: Simplifying 3a + 2z2 = 0 Solving 3a + 2z2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2z2' to each side of the equation. 3a + 2z2 + -2z2 = 0 + -2z2 Combine like terms: 2z2 + -2z2 = 0 3a + 0 = 0 + -2z2 3a = 0 + -2z2 Remove the zero: 3a = -2z2 Divide each side by '3'. a = -0.6666666667z2 Simplifying a = -0.6666666667z2Subproblem 2
Set the factor '(3a + 2z2)' equal to zero and attempt to solve: Simplifying 3a + 2z2 = 0 Solving 3a + 2z2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2z2' to each side of the equation. 3a + 2z2 + -2z2 = 0 + -2z2 Combine like terms: 2z2 + -2z2 = 0 3a + 0 = 0 + -2z2 3a = 0 + -2z2 Remove the zero: 3a = -2z2 Divide each side by '3'. a = -0.6666666667z2 Simplifying a = -0.6666666667z2Solution
a = {-0.6666666667z2, -0.6666666667z2}
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