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