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Simplifying 64x2 + 16xy + y2 = 0 Reorder the terms: 16xy + 64x2 + y2 = 0 Solving 16xy + 64x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (8x + y)(8x + y) = 0Subproblem 1
Set the factor '(8x + y)' equal to zero and attempt to solve: Simplifying 8x + y = 0 Solving 8x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 8x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125ySubproblem 2
Set the factor '(8x + y)' equal to zero and attempt to solve: Simplifying 8x + y = 0 Solving 8x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 8x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 8x + 0 = 0 + -1y 8x = 0 + -1y Remove the zero: 8x = -1y Divide each side by '8'. x = -0.125y Simplifying x = -0.125ySolution
x = {-0.125y, -0.125y}
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