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Simplifying 6x2 + 3xy + -4xy + 2x2 = 0 Reorder the terms: 3xy + -4xy + 6x2 + 2x2 = 0 Combine like terms: 3xy + -4xy = -1xy -1xy + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 -1xy + 8x2 = 0 Solving -1xy + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1y + 8x) = 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 '(-1y + 8x)' equal to zero and attempt to solve: Simplifying -1y + 8x = 0 Reorder the terms: 8x + -1y = 0 Solving 8x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 8x + -1y + y = 0 + y Combine like terms: -1y + y = 0 8x + 0 = 0 + y 8x = 0 + y Remove the zero: 8x = y Divide each side by '8'. x = 0.125y Simplifying x = 0.125ySolution
x = {0, 0.125y}
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