4x^2-7xy+3y^2=0

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Solution for 4x^2-7xy+3y^2=0 equation:


Simplifying
4x2 + -7xy + 3y2 = 0

Reorder the terms:
-7xy + 4x2 + 3y2 = 0

Solving
-7xy + 4x2 + 3y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + -1y)(4x + -3y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(4x + -3y)' equal to zero and attempt to solve: Simplifying 4x + -3y = 0 Solving 4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x + 0 = 0 + 3y 4x = 0 + 3y Remove the zero: 4x = 3y Divide each side by '4'. x = 0.75y Simplifying x = 0.75y

Solution

x = {y, 0.75y}

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