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Simplifying 16a2 + -40ag = -25g2 Reorder the terms: -40ag + 16a2 = -25g2 Solving -40ag + 16a2 = -25g2 Solving for variable 'a'. Combine like terms: -25g2 + 25g2 = 0 -40ag + 16a2 + 25g2 = 0 Factor a trinomial. (4a + -5g)(4a + -5g) = 0Subproblem 1
Set the factor '(4a + -5g)' equal to zero and attempt to solve: Simplifying 4a + -5g = 0 Solving 4a + -5g = 0 Move all terms containing a to the left, all other terms to the right. Add '5g' to each side of the equation. 4a + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 4a + 0 = 0 + 5g 4a = 0 + 5g Remove the zero: 4a = 5g Divide each side by '4'. a = 1.25g Simplifying a = 1.25gSubproblem 2
Set the factor '(4a + -5g)' equal to zero and attempt to solve: Simplifying 4a + -5g = 0 Solving 4a + -5g = 0 Move all terms containing a to the left, all other terms to the right. Add '5g' to each side of the equation. 4a + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 4a + 0 = 0 + 5g 4a = 0 + 5g Remove the zero: 4a = 5g Divide each side by '4'. a = 1.25g Simplifying a = 1.25gSolution
a = {1.25g, 1.25g}
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