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Simplifying a2 + 11ag + 28g2 = 0 Reorder the terms: 11ag + a2 + 28g2 = 0 Solving 11ag + a2 + 28g2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 4g)(a + 7g) = 0Subproblem 1
Set the factor '(a + 4g)' equal to zero and attempt to solve: Simplifying a + 4g = 0 Solving a + 4g = 0 Move all terms containing a to the left, all other terms to the right. Add '-4g' to each side of the equation. a + 4g + -4g = 0 + -4g Combine like terms: 4g + -4g = 0 a + 0 = 0 + -4g a = 0 + -4g Remove the zero: a = -4g Simplifying a = -4gSubproblem 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 = {-4g, -7g}
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