42c^2-17cw-15w^2=0

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Solution for 42c^2-17cw-15w^2=0 equation: 


Simplifying
42c2 + -17cw + -15w2 = 0

Reorder the terms:
-17cw + 42c2 + -15w2 = 0

Solving
-17cw + 42c2 + -15w2 = 0

Solving for variable 'c'.

Factor a trinomial.
(6c + -5w)(7c + 3w) = 0


Subproblem 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 = 0.8333333333w

Subproblem 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 = -0.4285714286w
Solution
c = {0.8333333333w, -0.4285714286w}

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