r(c-5)+s(c-4)=0

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Solution for r(c-5)+s(c-4)=0 equation:


Simplifying
r(c + -5) + s(c + -4) = 0

Reorder the terms:
r(-5 + c) + s(c + -4) = 0
(-5 * r + c * r) + s(c + -4) = 0

Reorder the terms:
(cr + -5r) + s(c + -4) = 0
(cr + -5r) + s(c + -4) = 0

Reorder the terms:
cr + -5r + s(-4 + c) = 0
cr + -5r + (-4 * s + c * s) = 0

Reorder the terms:
cr + -5r + (cs + -4s) = 0
cr + -5r + (cs + -4s) = 0

Reorder the terms:
cr + cs + -5r + -4s = 0

Solving
cr + cs + -5r + -4s = 0

Solving for variable 'c'.

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

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

Combine like terms: -5r + 5r = 0
cr + cs + 0 + -4s = 0 + 5r
cr + cs + -4s = 0 + 5r
Remove the zero:
cr + cs + -4s = 5r

Add '4s' to each side of the equation.
cr + cs + -4s + 4s = 5r + 4s

Combine like terms: -4s + 4s = 0
cr + cs + 0 = 5r + 4s
cr + cs = 5r + 4s

Reorder the terms:
cr + cs + -5r + -4s = 5r + -5r + 4s + -4s

Combine like terms: 5r + -5r = 0
cr + cs + -5r + -4s = 0 + 4s + -4s
cr + cs + -5r + -4s = 4s + -4s

Combine like terms: 4s + -4s = 0
cr + cs + -5r + -4s = 0

The solution to this equation could not be determined.

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