49x^2-42xy+9y^2=

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Solution for 49x^2-42xy+9y^2= equation:


Simplifying
49x2 + -42xy + 9y2 = 0

Reorder the terms:
-42xy + 49x2 + 9y2 = 0

Solving
-42xy + 49x2 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -3y)(7x + -3y) = 0

Subproblem 1

Set the factor '(7x + -3y)' equal to zero and attempt to solve: Simplifying 7x + -3y = 0 Solving 7x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 = 0 + 3y 7x = 0 + 3y Remove the zero: 7x = 3y Divide each side by '7'. x = 0.4285714286y Simplifying x = 0.4285714286y

Subproblem 2

Set the factor '(7x + -3y)' equal to zero and attempt to solve: Simplifying 7x + -3y = 0 Solving 7x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7x + 0 = 0 + 3y 7x = 0 + 3y Remove the zero: 7x = 3y Divide each side by '7'. x = 0.4285714286y Simplifying x = 0.4285714286y

Solution

x = {0.4285714286y, 0.4285714286y}

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