11c^2x^2-44c^2y^2=0

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Solution for 11c^2x^2-44c^2y^2=0 equation:


Simplifying
11c2x2 + -44c2y2 = 0

Solving
11c2x2 + -44c2y2 = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '11c2'.
11c2(x2 + -4y2) = 0

Factor a difference between two squares.
11c2((x + 2y)(x + -2y)) = 0

Ignore the factor 11.

Subproblem 1

Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}

Subproblem 2

Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + 2y = 0 + -1x Combine like terms: x + -1x = 0 0 + 2y = 0 + -1x 2y = 0 + -1x Remove the zero: 2y = -1x Add '-2y' to each side of the equation. 2y + -2y = -1x + -2y Combine like terms: 2y + -2y = 0 0 = -1x + -2y Simplifying 0 = -1x + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(x + -2y)' equal to zero and attempt to solve: Simplifying x + -2y = 0 Solving x + -2y = 0 Move all terms containing c to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -2y = 0 + -1x Combine like terms: x + -1x = 0 0 + -2y = 0 + -1x -2y = 0 + -1x Remove the zero: -2y = -1x Add '2y' to each side of the equation. -2y + 2y = -1x + 2y Combine like terms: -2y + 2y = 0 0 = -1x + 2y Simplifying 0 = -1x + 2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

c = {0}

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