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Simplifying 9xy + 6x2 + -12yx + -7x + 6xy + -3x2 = 0 Reorder the terms: -7x + 9xy + -12xy + 6xy + 6x2 + -3x2 = 0 Combine like terms: 9xy + -12xy = -3xy -7x + -3xy + 6xy + 6x2 + -3x2 = 0 Combine like terms: -3xy + 6xy = 3xy -7x + 3xy + 6x2 + -3x2 = 0 Combine like terms: 6x2 + -3x2 = 3x2 -7x + 3xy + 3x2 = 0 Solving -7x + 3xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 3y + 3x) = 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 '(-7 + 3y + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3y + 3x = 0 Reorder the terms: -7 + 3x + 3y = 0 Solving -7 + 3x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3x + 7 + 3y = 0 + 7 Reorder the terms: -7 + 7 + 3x + 3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x + 3y = 0 + 7 3x + 3y = 0 + 7 Combine like terms: 0 + 7 = 7 3x + 3y = 7 Add '-3y' to each side of the equation. 3x + 3y + -3y = 7 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 7 + -3y 3x = 7 + -3y Divide each side by '3'. x = 2.333333333 + -1y Simplifying x = 2.333333333 + -1ySolution
x = {0, 2.333333333 + -1y}
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