20x^2+31xy-7y^2=0

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Solution for 20x^2+31xy-7y^2=0 equation:


Simplifying
20x2 + 31xy + -7y2 = 0

Reorder the terms:
31xy + 20x2 + -7y2 = 0

Solving
31xy + 20x2 + -7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -1y)(4x + 7y) = 0

Subproblem 1

Set the factor '(5x + -1y)' equal to zero and attempt to solve: Simplifying 5x + -1y = 0 Solving 5x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y = 0 + y Combine like terms: -1y + y = 0 5x + 0 = 0 + y 5x = 0 + y Remove the zero: 5x = y Divide each side by '5'. x = 0.2y Simplifying x = 0.2y

Subproblem 2

Set the factor '(4x + 7y)' equal to zero and attempt to solve: Simplifying 4x + 7y = 0 Solving 4x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 4x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4x + 0 = 0 + -7y 4x = 0 + -7y Remove the zero: 4x = -7y Divide each side by '4'. x = -1.75y Simplifying x = -1.75y

Solution

x = {0.2y, -1.75y}

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