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Simplifying 10xy + 2x2 + -3yx + -6x + 7xy + -1x2 = 0 Reorder the terms: -6x + 10xy + -3xy + 7xy + 2x2 + -1x2 = 0 Combine like terms: 10xy + -3xy = 7xy -6x + 7xy + 7xy + 2x2 + -1x2 = 0 Combine like terms: 7xy + 7xy = 14xy -6x + 14xy + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 -6x + 14xy + 1x2 = 0 Solving -6x + 14xy + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 14y + x) = 0Subproblem 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 '(-6 + 14y + x)' equal to zero and attempt to solve: Simplifying -6 + 14y + x = 0 Reorder the terms: -6 + x + 14y = 0 Solving -6 + x + 14y = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + x + 6 + 14y = 0 + 6 Reorder the terms: -6 + 6 + x + 14y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x + 14y = 0 + 6 x + 14y = 0 + 6 Combine like terms: 0 + 6 = 6 x + 14y = 6 Add '-14y' to each side of the equation. x + 14y + -14y = 6 + -14y Combine like terms: 14y + -14y = 0 x + 0 = 6 + -14y x = 6 + -14y Simplifying x = 6 + -14ySolution
x = {0, 6 + -14y}
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