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Simplifying a2x2 + 8ax + 16 = 0 Reorder the terms: 16 + 8ax + a2x2 = 0 Solving 16 + 8ax + a2x2 = 0 Solving for variable 'a'. Factor a trinomial. (4 + ax)(4 + ax) = 0Subproblem 1
Set the factor '(4 + ax)' equal to zero and attempt to solve: Simplifying 4 + ax = 0 Solving 4 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + ax = 0 + -4 Combine like terms: 4 + -4 = 0 0 + ax = 0 + -4 ax = 0 + -4 Combine like terms: 0 + -4 = -4 ax = -4 Divide each side by 'x'. a = -4x-1 Simplifying a = -4x-1Subproblem 2
Set the factor '(4 + ax)' equal to zero and attempt to solve: Simplifying 4 + ax = 0 Solving 4 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + ax = 0 + -4 Combine like terms: 4 + -4 = 0 0 + ax = 0 + -4 ax = 0 + -4 Combine like terms: 0 + -4 = -4 ax = -4 Divide each side by 'x'. a = -4x-1 Simplifying a = -4x-1Solution
a = {-4x-1, -4x-1}
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