12c^2-17cd-5d^2=

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Solution for 12c^2-17cd-5d^2= equation:


Simplifying
12c2 + -17cd + -5d2 = 0

Reorder the terms:
-17cd + 12c2 + -5d2 = 0

Solving
-17cd + 12c2 + -5d2 = 0

Solving for variable 'c'.

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

Subproblem 1

Set the factor '(3c + -5d)' equal to zero and attempt to solve: Simplifying 3c + -5d = 0 Solving 3c + -5d = 0 Move all terms containing c to the left, all other terms to the right. Add '5d' to each side of the equation. 3c + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 3c + 0 = 0 + 5d 3c = 0 + 5d Remove the zero: 3c = 5d Divide each side by '3'. c = 1.666666667d Simplifying c = 1.666666667d

Subproblem 2

Set the factor '(4c + d)' equal to zero and attempt to solve: Simplifying 4c + d = 0 Solving 4c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. 4c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 4c + 0 = 0 + -1d 4c = 0 + -1d Remove the zero: 4c = -1d Divide each side by '4'. c = -0.25d Simplifying c = -0.25d

Solution

c = {1.666666667d, -0.25d}

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