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