(3C+5s)(7s-7c)=

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Solution for (3C+5s)(7s-7c)= equation: 


Simplifying
(3C + 5s)(7s + -7c) = 0

Reorder the terms:
(3C + 5s)(-7c + 7s) = 0

Multiply (3C + 5s) * (-7c + 7s)
(3C * (-7c + 7s) + 5s * (-7c + 7s)) = 0
((-7c * 3C + 7s * 3C) + 5s * (-7c + 7s)) = 0
((-21cC + 21sC) + 5s * (-7c + 7s)) = 0
(-21cC + 21sC + (-7c * 5s + 7s * 5s)) = 0
(-21cC + 21sC + (-35cs + 35s2)) = 0

Reorder the terms:
(-21cC + -35cs + 21sC + 35s2) = 0
(-21cC + -35cs + 21sC + 35s2) = 0

Solving
-21cC + -35cs + 21sC + 35s2 = 0

Solving for variable 'c'.

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

Add '-21sC' to each side of the equation.
-21cC + -35cs + 21sC + -21sC + 35s2 = 0 + -21sC

Combine like terms: 21sC + -21sC = 0
-21cC + -35cs + 0 + 35s2 = 0 + -21sC
-21cC + -35cs + 35s2 = 0 + -21sC
Remove the zero:
-21cC + -35cs + 35s2 = -21sC

Add '-35s2' to each side of the equation.
-21cC + -35cs + 35s2 + -35s2 = -21sC + -35s2

Combine like terms: 35s2 + -35s2 = 0
-21cC + -35cs + 0 = -21sC + -35s2
-21cC + -35cs = -21sC + -35s2

Reorder the terms:
-21cC + -35cs + 21sC + 35s2 = -21sC + 21sC + -35s2 + 35s2

Combine like terms: -21sC + 21sC = 0
-21cC + -35cs + 21sC + 35s2 = 0 + -35s2 + 35s2
-21cC + -35cs + 21sC + 35s2 = -35s2 + 35s2

Combine like terms: -35s2 + 35s2 = 0
-21cC + -35cs + 21sC + 35s2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-3cC + -5cs + 3sC + 5s2) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-3cC + -5cs + 3sC + 5s2)' equal to zero and attempt to solve:

Simplifying
-3cC + -5cs + 3sC + 5s2 = 0

Solving
-3cC + -5cs + 3sC + 5s2 = 0

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

Add '-3sC' to each side of the equation.
-3cC + -5cs + 3sC + -3sC + 5s2 = 0 + -3sC

Combine like terms: 3sC + -3sC = 0
-3cC + -5cs + 0 + 5s2 = 0 + -3sC
-3cC + -5cs + 5s2 = 0 + -3sC
Remove the zero:
-3cC + -5cs + 5s2 = -3sC

Add '-5s2' to each side of the equation.
-3cC + -5cs + 5s2 + -5s2 = -3sC + -5s2

Combine like terms: 5s2 + -5s2 = 0
-3cC + -5cs + 0 = -3sC + -5s2
-3cC + -5cs = -3sC + -5s2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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