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Simplifying 16c2 + -40cg + 25g2 = 0 Reorder the terms: -40cg + 16c2 + 25g2 = 0 Solving -40cg + 16c2 + 25g2 = 0 Solving for variable 'c'. Factor a trinomial. (4c + -5g)(4c + -5g) = 0Subproblem 1
Set the factor '(4c + -5g)' equal to zero and attempt to solve: Simplifying 4c + -5g = 0 Solving 4c + -5g = 0 Move all terms containing c to the left, all other terms to the right. Add '5g' to each side of the equation. 4c + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 4c + 0 = 0 + 5g 4c = 0 + 5g Remove the zero: 4c = 5g Divide each side by '4'. c = 1.25g Simplifying c = 1.25gSubproblem 2
Set the factor '(4c + -5g)' equal to zero and attempt to solve: Simplifying 4c + -5g = 0 Solving 4c + -5g = 0 Move all terms containing c to the left, all other terms to the right. Add '5g' to each side of the equation. 4c + -5g + 5g = 0 + 5g Combine like terms: -5g + 5g = 0 4c + 0 = 0 + 5g 4c = 0 + 5g Remove the zero: 4c = 5g Divide each side by '4'. c = 1.25g Simplifying c = 1.25gSolution
c = {1.25g, 1.25g}
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