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Simplifying 25a2 + -60ag + 36g2 = 0 Reorder the terms: -60ag + 25a2 + 36g2 = 0 Solving -60ag + 25a2 + 36g2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -6g)(5a + -6g) = 0Subproblem 1
Set the factor '(5a + -6g)' equal to zero and attempt to solve: Simplifying 5a + -6g = 0 Solving 5a + -6g = 0 Move all terms containing a to the left, all other terms to the right. Add '6g' to each side of the equation. 5a + -6g + 6g = 0 + 6g Combine like terms: -6g + 6g = 0 5a + 0 = 0 + 6g 5a = 0 + 6g Remove the zero: 5a = 6g Divide each side by '5'. a = 1.2g Simplifying a = 1.2gSubproblem 2
Set the factor '(5a + -6g)' equal to zero and attempt to solve: Simplifying 5a + -6g = 0 Solving 5a + -6g = 0 Move all terms containing a to the left, all other terms to the right. Add '6g' to each side of the equation. 5a + -6g + 6g = 0 + 6g Combine like terms: -6g + 6g = 0 5a + 0 = 0 + 6g 5a = 0 + 6g Remove the zero: 5a = 6g Divide each side by '5'. a = 1.2g Simplifying a = 1.2gSolution
a = {1.2g, 1.2g}
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