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Simplifying (2x + -11y)(2x + -11y) = 0 Multiply (2x + -11y) * (2x + -11y) (2x * (2x + -11y) + -11y * (2x + -11y)) = 0 ((2x * 2x + -11y * 2x) + -11y * (2x + -11y)) = 0 Reorder the terms: ((-22xy + 4x2) + -11y * (2x + -11y)) = 0 ((-22xy + 4x2) + -11y * (2x + -11y)) = 0 (-22xy + 4x2 + (2x * -11y + -11y * -11y)) = 0 (-22xy + 4x2 + (-22xy + 121y2)) = 0 Reorder the terms: (-22xy + -22xy + 4x2 + 121y2) = 0 Combine like terms: -22xy + -22xy = -44xy (-44xy + 4x2 + 121y2) = 0 Solving -44xy + 4x2 + 121y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -11y)(2x + -11y) = 0Subproblem 1
Set the factor '(2x + -11y)' equal to zero and attempt to solve: Simplifying 2x + -11y = 0 Solving 2x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5ySubproblem 2
Set the factor '(2x + -11y)' equal to zero and attempt to solve: Simplifying 2x + -11y = 0 Solving 2x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. 2x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 2x + 0 = 0 + 11y 2x = 0 + 11y Remove the zero: 2x = 11y Divide each side by '2'. x = 5.5y Simplifying x = 5.5ySolution
x = {5.5y, 5.5y}
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