c^2+17cx-60x^2=0

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Solution for c^2+17cx-60x^2=0 equation: 


Simplifying
c2 + 17cx + -60x2 = 0

Reorder the terms:
17cx + c2 + -60x2 = 0

Solving
17cx + c2 + -60x2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -3x)(c + 20x) = 0


Subproblem 1
Set the factor '(c + -3x)' equal to zero and attempt to solve:

Simplifying
c + -3x = 0

Solving
c + -3x = 0

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

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

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

Simplifying
c = 3x

Subproblem 2
Set the factor '(c + 20x)' equal to zero and attempt to solve:

Simplifying
c + 20x = 0

Solving
c + 20x = 0

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

Add '-20x' to each side of the equation.
c + 20x + -20x = 0 + -20x

Combine like terms: 20x + -20x = 0
c + 0 = 0 + -20x
c = 0 + -20x
Remove the zero:
c = -20x

Simplifying
c = -20x
Solution
c = {3x, -20x}

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