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Simplifying 36x2 + 84xy + 49y2 = 0 Reorder the terms: 84xy + 36x2 + 49y2 = 0 Solving 84xy + 36x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + 7y)(6x + 7y) = 0Subproblem 1
Set the factor '(6x + 7y)' equal to zero and attempt to solve: Simplifying 6x + 7y = 0 Solving 6x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 6x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = 0 + -7y 6x = 0 + -7y Remove the zero: 6x = -7y Divide each side by '6'. x = -1.166666667y Simplifying x = -1.166666667ySubproblem 2
Set the factor '(6x + 7y)' equal to zero and attempt to solve: Simplifying 6x + 7y = 0 Solving 6x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 6x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 6x + 0 = 0 + -7y 6x = 0 + -7y Remove the zero: 6x = -7y Divide each side by '6'. x = -1.166666667y Simplifying x = -1.166666667ySolution
x = {-1.166666667y, -1.166666667y}
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