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Simplifying 8xy + 6x2 + -1yx + -4x + 5xy + -9x2 = 0 Reorder the terms: -4x + 8xy + -1xy + 5xy + 6x2 + -9x2 = 0 Combine like terms: 8xy + -1xy = 7xy -4x + 7xy + 5xy + 6x2 + -9x2 = 0 Combine like terms: 7xy + 5xy = 12xy -4x + 12xy + 6x2 + -9x2 = 0 Combine like terms: 6x2 + -9x2 = -3x2 -4x + 12xy + -3x2 = 0 Solving -4x + 12xy + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 12y + -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 '(-4 + 12y + -3x)' equal to zero and attempt to solve: Simplifying -4 + 12y + -3x = 0 Reorder the terms: -4 + -3x + 12y = 0 Solving -4 + -3x + 12y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3x + 4 + 12y = 0 + 4 Reorder the terms: -4 + 4 + -3x + 12y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x + 12y = 0 + 4 -3x + 12y = 0 + 4 Combine like terms: 0 + 4 = 4 -3x + 12y = 4 Add '-12y' to each side of the equation. -3x + 12y + -12y = 4 + -12y Combine like terms: 12y + -12y = 0 -3x + 0 = 4 + -12y -3x = 4 + -12y Divide each side by '-3'. x = -1.333333333 + 4y Simplifying x = -1.333333333 + 4ySolution
x = {0, -1.333333333 + 4y}
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