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Simplifying 10c2 + -29cw + 10w2 = 0 Reorder the terms: -29cw + 10c2 + 10w2 = 0 Solving -29cw + 10c2 + 10w2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -5w)(5c + -2w) = 0Subproblem 1
Set the factor '(2c + -5w)' equal to zero and attempt to solve: Simplifying 2c + -5w = 0 Solving 2c + -5w = 0 Move all terms containing c to the left, all other terms to the right. Add '5w' to each side of the equation. 2c + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 2c + 0 = 0 + 5w 2c = 0 + 5w Remove the zero: 2c = 5w Divide each side by '2'. c = 2.5w Simplifying c = 2.5wSubproblem 2
Set the factor '(5c + -2w)' equal to zero and attempt to solve: Simplifying 5c + -2w = 0 Solving 5c + -2w = 0 Move all terms containing c to the left, all other terms to the right. Add '2w' to each side of the equation. 5c + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 5c + 0 = 0 + 2w 5c = 0 + 2w Remove the zero: 5c = 2w Divide each side by '5'. c = 0.4w Simplifying c = 0.4wSolution
c = {2.5w, 0.4w}
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