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Simplifying 81x2 + -72xy + 16y2 = 0 Reorder the terms: -72xy + 81x2 + 16y2 = 0 Solving -72xy + 81x2 + 16y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -4y)(9x + -4y) = 0Subproblem 1
Set the factor '(9x + -4y)' equal to zero and attempt to solve: Simplifying 9x + -4y = 0 Solving 9x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 9x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 9x + 0 = 0 + 4y 9x = 0 + 4y Remove the zero: 9x = 4y Divide each side by '9'. x = 0.4444444444y Simplifying x = 0.4444444444ySubproblem 2
Set the factor '(9x + -4y)' equal to zero and attempt to solve: Simplifying 9x + -4y = 0 Solving 9x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 9x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 9x + 0 = 0 + 4y 9x = 0 + 4y Remove the zero: 9x = 4y Divide each side by '9'. x = 0.4444444444y Simplifying x = 0.4444444444ySolution
x = {0.4444444444y, 0.4444444444y}
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