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Simplifying a2 + -14ag + 49g2 = 0 Reorder the terms: -14ag + a2 + 49g2 = 0 Solving -14ag + a2 + 49g2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -7g)(a + -7g) = 0Subproblem 1
Set the factor '(a + -7g)' equal to zero and attempt to solve: Simplifying a + -7g = 0 Solving a + -7g = 0 Move all terms containing a to the left, all other terms to the right. Add '7g' to each side of the equation. a + -7g + 7g = 0 + 7g Combine like terms: -7g + 7g = 0 a + 0 = 0 + 7g a = 0 + 7g Remove the zero: a = 7g Simplifying a = 7gSubproblem 2
Set the factor '(a + -7g)' equal to zero and attempt to solve: Simplifying a + -7g = 0 Solving a + -7g = 0 Move all terms containing a to the left, all other terms to the right. Add '7g' to each side of the equation. a + -7g + 7g = 0 + 7g Combine like terms: -7g + 7g = 0 a + 0 = 0 + 7g a = 0 + 7g Remove the zero: a = 7g Simplifying a = 7gSolution
a = {7g, 7g}
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