2x^2+15xy+7y^2=0

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Solution for 2x^2+15xy+7y^2=0 equation:


Simplifying
2x2 + 15xy + 7y2 = 0

Reorder the terms:
15xy + 2x2 + 7y2 = 0

Solving
15xy + 2x2 + 7y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + y)(x + 7y) = 0

Subproblem 1

Set the factor '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5y

Subproblem 2

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

Solution

x = {-0.5y, -7y}

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