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Simplifying x2a2 + 2xa + 1 = 0x Reorder the terms: 1 + 2ax + a2x2 = 0x Anything times zero is zero. 1 + 2ax + a2x2 = 0x Solving 1 + 2ax + a2x2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + ax)(1 + ax) = 0Subproblem 1
Set the factor '(1 + ax)' equal to zero and attempt to solve: Simplifying 1 + ax = 0 Solving 1 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + ax = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ax = 0 + -1 ax = 0 + -1 Combine like terms: 0 + -1 = -1 ax = -1 Divide each side by 'x'. a = -1x-1 Simplifying a = -1x-1Subproblem 2
Set the factor '(1 + ax)' equal to zero and attempt to solve: Simplifying 1 + ax = 0 Solving 1 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + ax = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ax = 0 + -1 ax = 0 + -1 Combine like terms: 0 + -1 = -1 ax = -1 Divide each side by 'x'. a = -1x-1 Simplifying a = -1x-1Solution
a = {-1x-1, -1x-1}
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