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Simplifying (6x + 8y + 8)(-1xy) = 0 Reorder the terms: (8 + 6x + 8y)(-1xy) = 0 Remove parenthesis around (-1xy) (8 + 6x + 8y) * -1xy = 0 Reorder the terms for easier multiplication: -1xy(8 + 6x + 8y) = 0 (8 * -1xy + 6x * -1xy + 8y * -1xy) = 0 Reorder the terms: (-8xy + -8xy2 + -6x2y) = 0 (-8xy + -8xy2 + -6x2y) = 0 Solving -8xy + -8xy2 + -6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(4 + 4y + 3x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(4 + 4y + 3x)' equal to zero and attempt to solve: Simplifying 4 + 4y + 3x = 0 Reorder the terms: 4 + 3x + 4y = 0 Solving 4 + 3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -4 + 4y = 0 + -4 Reorder the terms: 4 + -4 + 3x + 4y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + 4y = 0 + -4 3x + 4y = 0 + -4 Combine like terms: 0 + -4 = -4 3x + 4y = -4 Add '-4y' to each side of the equation. 3x + 4y + -4y = -4 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = -4 + -4y 3x = -4 + -4y Divide each side by '3'. x = -1.333333333 + -1.333333333y Simplifying x = -1.333333333 + -1.333333333ySolution
x = {-1.333333333 + -1.333333333y}
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