12c^2+13cs-35s^2=

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Solution for 12c^2+13cs-35s^2= equation: 


Simplifying
12c2 + 13cs + -35s2 = 0

Reorder the terms:
13cs + 12c2 + -35s2 = 0

Solving
13cs + 12c2 + -35s2 = 0

Solving for variable 'c'.

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


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

Simplifying
4c + -5s = 0

Solving
4c + -5s = 0

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

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

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

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

Simplifying
c = 1.25s

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

Simplifying
3c + 7s = 0

Solving
3c + 7s = 0

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

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

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

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

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

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