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Simplifying 8x2 + -46xy + 11y2 = 0 Reorder the terms: -46xy + 8x2 + 11y2 = 0 Solving -46xy + 8x2 + 11y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -11y)(4x + -1y) = 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 '(4x + -1y)' equal to zero and attempt to solve: Simplifying 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25ySolution
x = {5.5y, 0.25y}
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