1y^2+14xy+49x^2=

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Solution for 1y^2+14xy+49x^2= equation:


Simplifying
1y2 + 14xy + 49x2 = 0

Reorder the terms:
14xy + 49x2 + 1y2 = 0

Solving
14xy + 49x2 + 1y2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7x + y)' equal to zero and attempt to solve: Simplifying 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429y

Subproblem 2

Set the factor '(7x + y)' equal to zero and attempt to solve: Simplifying 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429y

Solution

x = {-0.1428571429y, -0.1428571429y}

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