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Simplifying 4x + 2x(3 + -3y) = 0 4x + (3 * 2x + -3y * 2x) = 0 4x + (6x + -6xy) = 0 Combine like terms: 4x + 6x = 10x 10x + -6xy = 0 Solving 10x + -6xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Add '3y' to each side of the equation. -3y + 3y = -5 + 3y Combine like terms: -3y + 3y = 0 0 = -5 + 3y Simplifying 0 = -5 + 3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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