49x^2+112xy+64y^2=0

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Solution for 49x^2+112xy+64y^2=0 equation:


Simplifying
49x2 + 112xy + 64y2 = 0

Reorder the terms:
112xy + 49x2 + 64y2 = 0

Solving
112xy + 49x2 + 64y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 8y)(7x + 8y) = 0

Subproblem 1

Set the factor '(7x + 8y)' equal to zero and attempt to solve: Simplifying 7x + 8y = 0 Solving 7x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 7x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 7x + 0 = 0 + -8y 7x = 0 + -8y Remove the zero: 7x = -8y Divide each side by '7'. x = -1.142857143y Simplifying x = -1.142857143y

Subproblem 2

Set the factor '(7x + 8y)' equal to zero and attempt to solve: Simplifying 7x + 8y = 0 Solving 7x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 7x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 7x + 0 = 0 + -8y 7x = 0 + -8y Remove the zero: 7x = -8y Divide each side by '7'. x = -1.142857143y Simplifying x = -1.142857143y

Solution

x = {-1.142857143y, -1.142857143y}

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