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Simplifying 56c2 + 23cw + -63w2 = 0 Reorder the terms: 23cw + 56c2 + -63w2 = 0 Solving 23cw + 56c2 + -63w2 = 0 Solving for variable 'c'. Factor a trinomial. (8c + -7w)(7c + 9w) = 0Subproblem 1
Set the factor '(8c + -7w)' equal to zero and attempt to solve: Simplifying 8c + -7w = 0 Solving 8c + -7w = 0 Move all terms containing c to the left, all other terms to the right. Add '7w' to each side of the equation. 8c + -7w + 7w = 0 + 7w Combine like terms: -7w + 7w = 0 8c + 0 = 0 + 7w 8c = 0 + 7w Remove the zero: 8c = 7w Divide each side by '8'. c = 0.875w Simplifying c = 0.875wSubproblem 2
Set the factor '(7c + 9w)' equal to zero and attempt to solve: Simplifying 7c + 9w = 0 Solving 7c + 9w = 0 Move all terms containing c to the left, all other terms to the right. Add '-9w' to each side of the equation. 7c + 9w + -9w = 0 + -9w Combine like terms: 9w + -9w = 0 7c + 0 = 0 + -9w 7c = 0 + -9w Remove the zero: 7c = -9w Divide each side by '7'. c = -1.285714286w Simplifying c = -1.285714286wSolution
c = {0.875w, -1.285714286w}
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