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Simplifying (8xy + -1y)(8xy + -1y) = 0 Multiply (8xy + -1y) * (8xy + -1y) (8xy * (8xy + -1y) + -1y * (8xy + -1y)) = 0 ((8xy * 8xy + -1y * 8xy) + -1y * (8xy + -1y)) = 0 Reorder the terms: ((-8xy2 + 64x2y2) + -1y * (8xy + -1y)) = 0 ((-8xy2 + 64x2y2) + -1y * (8xy + -1y)) = 0 (-8xy2 + 64x2y2 + (8xy * -1y + -1y * -1y)) = 0 (-8xy2 + 64x2y2 + (-8xy2 + 1y2)) = 0 Reorder the terms: (-8xy2 + -8xy2 + 64x2y2 + 1y2) = 0 Combine like terms: -8xy2 + -8xy2 = -16xy2 (-16xy2 + 64x2y2 + 1y2) = 0 Solving -16xy2 + 64x2y2 + 1y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-16x + 64x2 + 1) = 0 Factor a trinomial. y2((8x + -1)(8x + -1)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. y2 + -1y2 = 0 + -1y2 Remove the zero: 0 = -1y2 Simplifying 0 = -1y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8x + -1)' equal to zero and attempt to solve: Simplifying 8x + -1 = 0 Reorder the terms: -1 + 8x = 0 Solving -1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125Subproblem 3
Set the factor '(8x + -1)' equal to zero and attempt to solve: Simplifying 8x + -1 = 0 Reorder the terms: -1 + 8x = 0 Solving -1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125Solution
x = {0.125, 0.125}
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