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Simplifying 2c2 + 9cw + -35w2 = 0 Reorder the terms: 9cw + 2c2 + -35w2 = 0 Solving 9cw + 2c2 + -35w2 = 0 Solving for variable 'c'. Factor a trinomial. (2c + -5w)(c + 7w) = 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 '(c + 7w)' equal to zero and attempt to solve: Simplifying c + 7w = 0 Solving c + 7w = 0 Move all terms containing c to the left, all other terms to the right. Add '-7w' to each side of the equation. c + 7w + -7w = 0 + -7w Combine like terms: 7w + -7w = 0 c + 0 = 0 + -7w c = 0 + -7w Remove the zero: c = -7w Simplifying c = -7wSolution
c = {2.5w, -7w}
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