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Simplifying 64y2 + -112xy + 49x2 = 0 Reorder the terms: -112xy + 49x2 + 64y2 = 0 Solving -112xy + 49x2 + 64y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -8y)(7x + -8y) = 0Subproblem 1
Set the factor '(7x + -8y)' equal to zero and attempt to solve: Simplifying 7x + -8y = 0 Solving 7x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 7x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 7x + 0 = 0 + 8y 7x = 0 + 8y Remove the zero: 7x = 8y Divide each side by '7'. x = 1.142857143y Simplifying x = 1.142857143ySubproblem 2
Set the factor '(7x + -8y)' equal to zero and attempt to solve: Simplifying 7x + -8y = 0 Solving 7x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 7x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 7x + 0 = 0 + 8y 7x = 0 + 8y Remove the zero: 7x = 8y Divide each side by '7'. x = 1.142857143y Simplifying x = 1.142857143ySolution
x = {1.142857143y, 1.142857143y}
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