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Simplifying 2x(3 + -1y) = 14x (3 * 2x + -1y * 2x) = 14x (6x + -2xy) = 14x Solving 6x + -2xy = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6x + -14x + -2xy = 14x + -14x Combine like terms: 6x + -14x = -8x -8x + -2xy = 14x + -14x Combine like terms: 14x + -14x = 0 -8x + -2xy = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(4 + y) = 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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Add '-1y' to each side of the equation. y + -1y = -4 + -1y Combine like terms: y + -1y = 0 0 = -4 + -1y Simplifying 0 = -4 + -1y 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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