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Simplifying 7x2 + 26xy + -8y2 = 0 Reorder the terms: 26xy + 7x2 + -8y2 = 0 Solving 26xy + 7x2 + -8y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -2y)(x + 4y) = 0Subproblem 1
Set the factor '(7x + -2y)' equal to zero and attempt to solve: Simplifying 7x + -2y = 0 Solving 7x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 7x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = 0 + 2y 7x = 0 + 2y Remove the zero: 7x = 2y Divide each side by '7'. x = 0.2857142857y Simplifying x = 0.2857142857ySubproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {0.2857142857y, -4y}
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