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Simplifying a2 + 17ag + 72g2 = 0 Reorder the terms: 17ag + a2 + 72g2 = 0 Solving 17ag + a2 + 72g2 = 0 Solving for variable 'a'. Factor a trinomial. (a + 8g)(a + 9g) = 0Subproblem 1
Set the factor '(a + 8g)' equal to zero and attempt to solve: Simplifying a + 8g = 0 Solving a + 8g = 0 Move all terms containing a to the left, all other terms to the right. Add '-8g' to each side of the equation. a + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 a + 0 = 0 + -8g a = 0 + -8g Remove the zero: a = -8g Simplifying a = -8gSubproblem 2
Set the factor '(a + 9g)' equal to zero and attempt to solve: Simplifying a + 9g = 0 Solving a + 9g = 0 Move all terms containing a to the left, all other terms to the right. Add '-9g' to each side of the equation. a + 9g + -9g = 0 + -9g Combine like terms: 9g + -9g = 0 a + 0 = 0 + -9g a = 0 + -9g Remove the zero: a = -9g Simplifying a = -9gSolution
a = {-8g, -9g}
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