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Simplifying 42c2 + -17c + -15w2 = 0 Reorder the terms: -17c + 42c2 + -15w2 = 0 Solving -17c + 42c2 + -15w2 = 0 Solving for variable 'c'. Factor a trinomial. (6c + -5w)(7c + 3w) = 0Subproblem 1
Set the factor '(6c + -5w)' equal to zero and attempt to solve: Simplifying 6c + -5w = 0 Solving 6c + -5w = 0 Move all terms containing c to the left, all other terms to the right. Add '5w' to each side of the equation. 6c + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 6c + 0 = 0 + 5w 6c = 0 + 5w Remove the zero: 6c = 5w Divide each side by '6'. c = 0.8333333333w Simplifying c = 0.8333333333wSubproblem 2
Set the factor '(7c + 3w)' equal to zero and attempt to solve: Simplifying 7c + 3w = 0 Solving 7c + 3w = 0 Move all terms containing c to the left, all other terms to the right. Add '-3w' to each side of the equation. 7c + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 7c + 0 = 0 + -3w 7c = 0 + -3w Remove the zero: 7c = -3w Divide each side by '7'. c = -0.4285714286w Simplifying c = -0.4285714286wSolution
c = {0.8333333333w, -0.4285714286w}
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