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Simplifying 3x2y(2x + 3y + -4) = 0 Reorder the terms: 3x2y(-4 + 2x + 3y) = 0 (-4 * 3x2y + 2x * 3x2y + 3y * 3x2y) = 0 Reorder the terms: (-12x2y + 9x2y2 + 6x3y) = 0 (-12x2y + 9x2y2 + 6x3y) = 0 Solving -12x2y + 9x2y2 + 6x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y'. 3x2y(-4 + 3y + 2x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 + 3y + 2x)' equal to zero and attempt to solve: Simplifying -4 + 3y + 2x = 0 Reorder the terms: -4 + 2x + 3y = 0 Solving -4 + 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2x + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + 2x + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x + 3y = 0 + 4 2x + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 2x + 3y = 4 Add '-3y' to each side of the equation. 2x + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 4 + -3y 2x = 4 + -3y Divide each side by '2'. x = 2 + -1.5y Simplifying x = 2 + -1.5ySolution
x = {2 + -1.5y}
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