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Simplifying 56c2 + 17cw + -3w2 = 0 Reorder the terms: 17cw + 56c2 + -3w2 = 0 Solving 17cw + 56c2 + -3w2 = 0 Solving for variable 'c'. Factor a trinomial. (8c + -1w)(7c + 3w) = 0Subproblem 1
Set the factor '(8c + -1w)' equal to zero and attempt to solve: Simplifying 8c + -1w = 0 Solving 8c + -1w = 0 Move all terms containing c to the left, all other terms to the right. Add 'w' to each side of the equation. 8c + -1w + w = 0 + w Combine like terms: -1w + w = 0 8c + 0 = 0 + w 8c = 0 + w Remove the zero: 8c = w Divide each side by '8'. c = 0.125w Simplifying c = 0.125wSubproblem 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 = {0.125w, -0.4285714286w}
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