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Simplifying 4c2 + 20cg + 25g2 = 0 Reorder the terms: 20cg + 4c2 + 25g2 = 0 Solving 20cg + 4c2 + 25g2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + 5g)(2c + 5g) = 0Subproblem 1
Set the factor '(2c + 5g)' equal to zero and attempt to solve: Simplifying 2c + 5g = 0 Solving 2c + 5g = 0 Move all terms containing c to the left, all other terms to the right. Add '-5g' to each side of the equation. 2c + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 2c + 0 = 0 + -5g 2c = 0 + -5g Remove the zero: 2c = -5g Divide each side by '2'. c = -2.5g Simplifying c = -2.5gSubproblem 2
Set the factor '(2c + 5g)' equal to zero and attempt to solve: Simplifying 2c + 5g = 0 Solving 2c + 5g = 0 Move all terms containing c to the left, all other terms to the right. Add '-5g' to each side of the equation. 2c + 5g + -5g = 0 + -5g Combine like terms: 5g + -5g = 0 2c + 0 = 0 + -5g 2c = 0 + -5g Remove the zero: 2c = -5g Divide each side by '2'. c = -2.5g Simplifying c = -2.5gSolution
c = {-2.5g, -2.5g}
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