9y^2-48yw+64w^2=0

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Solution for 9y^2-48yw+64w^2=0 equation:


Simplifying
9y2 + -48yw + 64w2 = 0

Reorder the terms:
-48wy + 64w2 + 9y2 = 0

Solving
-48wy + 64w2 + 9y2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8w + -3y)(8w + -3y) = 0

Subproblem 1

Set the factor '(8w + -3y)' equal to zero and attempt to solve: Simplifying 8w + -3y = 0 Solving 8w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 8w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8w + 0 = 0 + 3y 8w = 0 + 3y Remove the zero: 8w = 3y Divide each side by '8'. w = 0.375y Simplifying w = 0.375y

Subproblem 2

Set the factor '(8w + -3y)' equal to zero and attempt to solve: Simplifying 8w + -3y = 0 Solving 8w + -3y = 0 Move all terms containing w to the left, all other terms to the right. Add '3y' to each side of the equation. 8w + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 8w + 0 = 0 + 3y 8w = 0 + 3y Remove the zero: 8w = 3y Divide each side by '8'. w = 0.375y Simplifying w = 0.375y

Solution

w = {0.375y, 0.375y}

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