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Simplifying (7x + 6y)(7x + 6y) = 0 Multiply (7x + 6y) * (7x + 6y) (7x * (7x + 6y) + 6y * (7x + 6y)) = 0 ((7x * 7x + 6y * 7x) + 6y * (7x + 6y)) = 0 Reorder the terms: ((42xy + 49x2) + 6y * (7x + 6y)) = 0 ((42xy + 49x2) + 6y * (7x + 6y)) = 0 (42xy + 49x2 + (7x * 6y + 6y * 6y)) = 0 (42xy + 49x2 + (42xy + 36y2)) = 0 Reorder the terms: (42xy + 42xy + 49x2 + 36y2) = 0 Combine like terms: 42xy + 42xy = 84xy (84xy + 49x2 + 36y2) = 0 Solving 84xy + 49x2 + 36y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 6y)(7x + 6y) = 0Subproblem 1
Set the factor '(7x + 6y)' equal to zero and attempt to solve: Simplifying 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySubproblem 2
Set the factor '(7x + 6y)' equal to zero and attempt to solve: Simplifying 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySolution
x = {-0.8571428571y, -0.8571428571y}
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