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Simplifying 13x2y + 3x + -1x2y + -5x + 2x2y = 0 Reorder the terms: 3x + -5x + 13x2y + -1x2y + 2x2y = 0 Combine like terms: 3x + -5x = -2x -2x + 13x2y + -1x2y + 2x2y = 0 Combine like terms: 13x2y + -1x2y = 12x2y -2x + 12x2y + 2x2y = 0 Combine like terms: 12x2y + 2x2y = 14x2y -2x + 14x2y = 0 Solving -2x + 14x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 7xy) = 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 '(-1 + 7xy)' equal to zero and attempt to solve: Simplifying -1 + 7xy = 0 Solving -1 + 7xy = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7xy = 0 + 1 7xy = 0 + 1 Combine like terms: 0 + 1 = 1 7xy = 1 Divide each side by '7y'. x = 0.1428571429y-1 Simplifying x = 0.1428571429y-1Solution
x = {0, 0.1428571429y-1}
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