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Simplifying 2x + 4x(5 + -3y) = 0 2x + (5 * 4x + -3y * 4x) = 0 2x + (20x + -12xy) = 0 Combine like terms: 2x + 20x = 22x 22x + -12xy = 0 Solving 22x + -12xy = 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(11 + -6y) = 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 '(11 + -6y)' equal to zero and attempt to solve: Simplifying 11 + -6y = 0 Solving 11 + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6y = 0 + -11 -6y = 0 + -11 Combine like terms: 0 + -11 = -11 -6y = -11 Add '6y' to each side of the equation. -6y + 6y = -11 + 6y Combine like terms: -6y + 6y = 0 0 = -11 + 6y Simplifying 0 = -11 + 6y 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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