12c^2+13cw-35w^2=

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Solution for 12c^2+13cw-35w^2= equation: 


Simplifying
12c2 + 13cw + -35w2 = 0

Reorder the terms:
13cw + 12c2 + -35w2 = 0

Solving
13cw + 12c2 + -35w2 = 0

Solving for variable 'c'.

Factor a trinomial.
(4c + -5w)(3c + 7w) = 0


Subproblem 1
Set the factor '(4c + -5w)' equal to zero and attempt to solve:

Simplifying
4c + -5w = 0

Solving
4c + -5w = 0

Move all terms containing c to the left, all other terms to the right.

Add '5w' to each side of the equation.
4c + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
4c + 0 = 0 + 5w
4c = 0 + 5w
Remove the zero:
4c = 5w

Divide each side by '4'.
c = 1.25w

Simplifying
c = 1.25w

Subproblem 2
Set the factor '(3c + 7w)' equal to zero and attempt to solve:

Simplifying
3c + 7w = 0

Solving
3c + 7w = 0

Move all terms containing c to the left, all other terms to the right.

Add '-7w' to each side of the equation.
3c + 7w + -7w = 0 + -7w

Combine like terms: 7w + -7w = 0
3c + 0 = 0 + -7w
3c = 0 + -7w
Remove the zero:
3c = -7w

Divide each side by '3'.
c = -2.333333333w

Simplifying
c = -2.333333333w
Solution
c = {1.25w, -2.333333333w}

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