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Simplifying (7x + 8y)(7x + 8y) = 0 Multiply (7x + 8y) * (7x + 8y) (7x * (7x + 8y) + 8y * (7x + 8y)) = 0 ((7x * 7x + 8y * 7x) + 8y * (7x + 8y)) = 0 Reorder the terms: ((56xy + 49x2) + 8y * (7x + 8y)) = 0 ((56xy + 49x2) + 8y * (7x + 8y)) = 0 (56xy + 49x2 + (7x * 8y + 8y * 8y)) = 0 (56xy + 49x2 + (56xy + 64y2)) = 0 Reorder the terms: (56xy + 56xy + 49x2 + 64y2) = 0 Combine like terms: 56xy + 56xy = 112xy (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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