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Simplifying (4x + 3y + 2)(-1xy) = 0 Reorder the terms: (2 + 4x + 3y)(-1xy) = 0 Remove parenthesis around (-1xy) (2 + 4x + 3y) * -1xy = 0 Reorder the terms for easier multiplication: -1xy(2 + 4x + 3y) = 0 (2 * -1xy + 4x * -1xy + 3y * -1xy) = 0 Reorder the terms: (-2xy + -3xy2 + -4x2y) = 0 (-2xy + -3xy2 + -4x2y) = 0 Solving -2xy + -3xy2 + -4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1xy'. -1xy(2 + 3y + 4x) = 0 Ignore the factor -1.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 '(2 + 3y + 4x)' equal to zero and attempt to solve: Simplifying 2 + 3y + 4x = 0 Reorder the terms: 2 + 4x + 3y = 0 Solving 2 + 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4x + -2 + 3y = 0 + -2 Reorder the terms: 2 + -2 + 4x + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + 3y = 0 + -2 4x + 3y = 0 + -2 Combine like terms: 0 + -2 = -2 4x + 3y = -2 Add '-3y' to each side of the equation. 4x + 3y + -3y = -2 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = -2 + -3y 4x = -2 + -3y Divide each side by '4'. x = -0.5 + -0.75y Simplifying x = -0.5 + -0.75ySolution
x = {-0.5 + -0.75y}
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