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Simplifying 4a2 + 20ag + 25g2 = 0 Reorder the terms: 20ag + 4a2 + 25g2 = 0 Solving 20ag + 4a2 + 25g2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + 5g)(2a + 5g) = 0Subproblem 1
Set the factor '(2a + 5g)' equal to zero and attempt to solve: Simplifying 2a + 5g = 0 Solving 2a + 5g = 0 Move all terms containing a to the left, all other terms to the right. Add '-5g' to each side of the equation. 2a + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 2a + 0 = 0 + -5g 2a = 0 + -5g Remove the zero: 2a = -5g Divide each side by '2'. a = -2.5g Simplifying a = -2.5gSubproblem 2
Set the factor '(2a + 5g)' equal to zero and attempt to solve: Simplifying 2a + 5g = 0 Solving 2a + 5g = 0 Move all terms containing a to the left, all other terms to the right. Add '-5g' to each side of the equation. 2a + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 2a + 0 = 0 + -5g 2a = 0 + -5g Remove the zero: 2a = -5g Divide each side by '2'. a = -2.5g Simplifying a = -2.5gSolution
a = {-2.5g, -2.5g}
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