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Simplifying a2 + 3ag + -28g2 = 0 Reorder the terms: 3ag + a2 + -28g2 = 0 Solving 3ag + 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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