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