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Simplifying 25a2 + 80ag + 64g2 = 0 Reorder the terms: 80ag + 25a2 + 64g2 = 0 Solving 80ag + 25a2 + 64g2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + 8g)(5a + 8g) = 0Subproblem 1
Set the factor '(5a + 8g)' equal to zero and attempt to solve: Simplifying 5a + 8g = 0 Solving 5a + 8g = 0 Move all terms containing a to the left, all other terms to the right. Add '-8g' to each side of the equation. 5a + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 5a + 0 = 0 + -8g 5a = 0 + -8g Remove the zero: 5a = -8g Divide each side by '5'. a = -1.6g Simplifying a = -1.6gSubproblem 2
Set the factor '(5a + 8g)' equal to zero and attempt to solve: Simplifying 5a + 8g = 0 Solving 5a + 8g = 0 Move all terms containing a to the left, all other terms to the right. Add '-8g' to each side of the equation. 5a + 8g + -8g = 0 + -8g Combine like terms: 8g + -8g = 0 5a + 0 = 0 + -8g 5a = 0 + -8g Remove the zero: 5a = -8g Divide each side by '5'. a = -1.6g Simplifying a = -1.6gSolution
a = {-1.6g, -1.6g}
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