4c^2-17cd-15d^2=0

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Solution for 4c^2-17cd-15d^2=0 equation: 


Simplifying
4c2 + -17cd + -15d2 = 0

Reorder the terms:
-17cd + 4c2 + -15d2 = 0

Solving
-17cd + 4c2 + -15d2 = 0

Solving for variable 'c'.

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


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

Simplifying
c + -5d = 0

Solving
c + -5d = 0

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

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

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

Simplifying
c = 5d

Subproblem 2
Set the factor '(4c + 3d)' equal to zero and attempt to solve:

Simplifying
4c + 3d = 0

Solving
4c + 3d = 0

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

Add '-3d' to each side of the equation.
4c + 3d + -3d = 0 + -3d

Combine like terms: 3d + -3d = 0
4c + 0 = 0 + -3d
4c = 0 + -3d
Remove the zero:
4c = -3d

Divide each side by '4'.
c = -0.75d

Simplifying
c = -0.75d
Solution
c = {5d, -0.75d}

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