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Simplifying 3xy + 12x2 + -4yx + -10x + 7xy + -9x2 = 0 Reorder the terms: -10x + 3xy + -4xy + 7xy + 12x2 + -9x2 = 0 Combine like terms: 3xy + -4xy = -1xy -10x + -1xy + 7xy + 12x2 + -9x2 = 0 Combine like terms: -1xy + 7xy = 6xy -10x + 6xy + 12x2 + -9x2 = 0 Combine like terms: 12x2 + -9x2 = 3x2 -10x + 6xy + 3x2 = 0 Solving -10x + 6xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + 6y + 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 '(-10 + 6y + 3x)' equal to zero and attempt to solve: Simplifying -10 + 6y + 3x = 0 Reorder the terms: -10 + 3x + 6y = 0 Solving -10 + 3x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3x + 10 + 6y = 0 + 10 Reorder the terms: -10 + 10 + 3x + 6y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x + 6y = 0 + 10 3x + 6y = 0 + 10 Combine like terms: 0 + 10 = 10 3x + 6y = 10 Add '-6y' to each side of the equation. 3x + 6y + -6y = 10 + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 10 + -6y 3x = 10 + -6y Divide each side by '3'. x = 3.333333333 + -2y Simplifying x = 3.333333333 + -2ySolution
x = {0, 3.333333333 + -2y}
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