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