x^2-18xy+32y^2=

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Solution for x^2-18xy+32y^2= equation:


Simplifying
x2 + -18xy + 32y2 = 0

Reorder the terms:
-18xy + x2 + 32y2 = 0

Solving
-18xy + x2 + 32y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -16y)(x + -2y) = 0

Subproblem 1

Set the factor '(x + -16y)' equal to zero and attempt to solve: Simplifying x + -16y = 0 Solving x + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 x + 0 = 0 + 16y x = 0 + 16y Remove the zero: x = 16y Simplifying x = 16y

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 x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 x + 0 = 0 + 2y x = 0 + 2y Remove the zero: x = 2y Simplifying x = 2y

Solution

x = {16y, 2y}

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