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Simplifying (x + -11y)(x + -7y) = 0 Multiply (x + -11y) * (x + -7y) (x(x + -7y) + -11y * (x + -7y)) = 0 ((x * x + -7y * x) + -11y * (x + -7y)) = 0 Reorder the terms: ((-7xy + x2) + -11y * (x + -7y)) = 0 ((-7xy + x2) + -11y * (x + -7y)) = 0 (-7xy + x2 + (x * -11y + -7y * -11y)) = 0 (-7xy + x2 + (-11xy + 77y2)) = 0 Reorder the terms: (-7xy + -11xy + x2 + 77y2) = 0 Combine like terms: -7xy + -11xy = -18xy (-18xy + x2 + 77y2) = 0 Solving -18xy + x2 + 77y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -11y)(x + -7y) = 0Subproblem 1
Set the factor '(x + -11y)' equal to zero and attempt to solve: Simplifying x + -11y = 0 Solving x + -11y = 0 Move all terms containing x to the left, all other terms to the right. Add '11y' to each side of the equation. x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 x + 0 = 0 + 11y x = 0 + 11y Remove the zero: x = 11y Simplifying x = 11ySubproblem 2
Set the factor '(x + -7y)' equal to zero and attempt to solve: Simplifying x + -7y = 0 Solving x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 x + 0 = 0 + 7y x = 0 + 7y Remove the zero: x = 7y Simplifying x = 7ySolution
x = {11y, 7y}
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