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Simplifying 49x2 + -56xy + 16y2 = 0 Reorder the terms: -56xy + 49x2 + 16y2 = 0 Solving -56xy + 49x2 + 16y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -4y)(7x + -4y) = 0Subproblem 1
Set the factor '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 0 + 4y 7x = 0 + 4y Remove the zero: 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714ySubproblem 2
Set the factor '(7x + -4y)' equal to zero and attempt to solve: Simplifying 7x + -4y = 0 Solving 7x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 7x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 7x + 0 = 0 + 4y 7x = 0 + 4y Remove the zero: 7x = 4y Divide each side by '7'. x = 0.5714285714y Simplifying x = 0.5714285714ySolution
x = {0.5714285714y, 0.5714285714y}
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