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Simplifying (8x + 3y)(8x + 3y) = 0 Multiply (8x + 3y) * (8x + 3y) (8x * (8x + 3y) + 3y * (8x + 3y)) = 0 ((8x * 8x + 3y * 8x) + 3y * (8x + 3y)) = 0 Reorder the terms: ((24xy + 64x2) + 3y * (8x + 3y)) = 0 ((24xy + 64x2) + 3y * (8x + 3y)) = 0 (24xy + 64x2 + (8x * 3y + 3y * 3y)) = 0 (24xy + 64x2 + (24xy + 9y2)) = 0 Reorder the terms: (24xy + 24xy + 64x2 + 9y2) = 0 Combine like terms: 24xy + 24xy = 48xy (48xy + 64x2 + 9y2) = 0 Solving 48xy + 64x2 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x + 3y)(8x + 3y) = 0Subproblem 1
Set the factor '(8x + 3y)' equal to zero and attempt to solve: Simplifying 8x + 3y = 0 Solving 8x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375ySubproblem 2
Set the factor '(8x + 3y)' equal to zero and attempt to solve: Simplifying 8x + 3y = 0 Solving 8x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375ySolution
x = {-0.375y, -0.375y}
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