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Simplifying 144x2 + -168xy + 49y2 = 0 Reorder the terms: -168xy + 144x2 + 49y2 = 0 Solving -168xy + 144x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (12x + -7y)(12x + -7y) = 0Subproblem 1
Set the factor '(12x + -7y)' equal to zero and attempt to solve: Simplifying 12x + -7y = 0 Solving 12x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 12x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 12x + 0 = 0 + 7y 12x = 0 + 7y Remove the zero: 12x = 7y Divide each side by '12'. x = 0.5833333333y Simplifying x = 0.5833333333ySubproblem 2
Set the factor '(12x + -7y)' equal to zero and attempt to solve: Simplifying 12x + -7y = 0 Solving 12x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 12x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 12x + 0 = 0 + 7y 12x = 0 + 7y Remove the zero: 12x = 7y Divide each side by '12'. x = 0.5833333333y Simplifying x = 0.5833333333ySolution
x = {0.5833333333y, 0.5833333333y}
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