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Simplifying a2 + -2ag + g2 = 0 Reorder the terms: -2ag + a2 + g2 = 0 Solving -2ag + a2 + g2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -1g)(a + -1g) = 0Subproblem 1
Set the factor '(a + -1g)' equal to zero and attempt to solve: Simplifying a + -1g = 0 Solving a + -1g = 0 Move all terms containing a to the left, all other terms to the right. Add 'g' to each side of the equation. a + -1g + g = 0 + g Combine like terms: -1g + g = 0 a + 0 = 0 + g a = 0 + g Remove the zero: a = g Simplifying a = gSubproblem 2
Set the factor '(a + -1g)' equal to zero and attempt to solve: Simplifying a + -1g = 0 Solving a + -1g = 0 Move all terms containing a to the left, all other terms to the right. Add 'g' to each side of the equation. a + -1g + g = 0 + g Combine like terms: -1g + g = 0 a + 0 = 0 + g a = 0 + g Remove the zero: a = g Simplifying a = gSolution
a = {g, g}
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