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Simplifying 16y + -8xy + yx2 = 0 Reorder the terms: -8xy + x2y + 16y = 0 Solving -8xy + x2y + 16y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'y'. y(-8x + x2 + 16) = 0 Factor a trinomial. y((x + -4)(x + -4)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(x + -4)' equal to zero and attempt to solve: Simplifying x + -4 = 0 Reorder the terms: -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 3
Set the factor '(x + -4)' equal to zero and attempt to solve: Simplifying x + -4 = 0 Reorder the terms: -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {4, 4}
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