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Simplifying a2x2 + 12ax + 36 = 0 Reorder the terms: 36 + 12ax + a2x2 = 0 Solving 36 + 12ax + a2x2 = 0 Solving for variable 'a'. Factor a trinomial. (6 + ax)(6 + ax) = 0Subproblem 1
Set the factor '(6 + ax)' equal to zero and attempt to solve: Simplifying 6 + ax = 0 Solving 6 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + ax = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ax = 0 + -6 ax = 0 + -6 Combine like terms: 0 + -6 = -6 ax = -6 Divide each side by 'x'. a = -6x-1 Simplifying a = -6x-1Subproblem 2
Set the factor '(6 + ax)' equal to zero and attempt to solve: Simplifying 6 + ax = 0 Solving 6 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + ax = 0 + -6 Combine like terms: 6 + -6 = 0 0 + ax = 0 + -6 ax = 0 + -6 Combine like terms: 0 + -6 = -6 ax = -6 Divide each side by 'x'. a = -6x-1 Simplifying a = -6x-1Solution
a = {-6x-1, -6x-1}
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