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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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