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Simplifying a2x2 + -8abx + 16b2 = 0 Reorder the terms: -8abx + a2x2 + 16b2 = 0 Solving -8abx + a2x2 + 16b2 = 0 Solving for variable 'a'. Factor a trinomial. (ax + -4b)(ax + -4b) = 0Subproblem 1
Set the factor '(ax + -4b)' equal to zero and attempt to solve: Simplifying ax + -4b = 0 Solving ax + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. ax + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 ax + 0 = 0 + 4b ax = 0 + 4b Remove the zero: ax = 4b Divide each side by 'x'. a = 4bx-1 Simplifying a = 4bx-1Subproblem 2
Set the factor '(ax + -4b)' equal to zero and attempt to solve: Simplifying ax + -4b = 0 Solving ax + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. ax + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 ax + 0 = 0 + 4b ax = 0 + 4b Remove the zero: ax = 4b Divide each side by 'x'. a = 4bx-1 Simplifying a = 4bx-1Solution
a = {4bx-1, 4bx-1}
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