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