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Simplifying -6x2 + 3xy + 2x2 = 0 Reorder the terms: 3xy + -6x2 + 2x2 = 0 Combine like terms: -6x2 + 2x2 = -4x2 3xy + -4x2 = 0 Solving 3xy + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3y + -4x) = 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 '(3y + -4x)' equal to zero and attempt to solve: Simplifying 3y + -4x = 0 Reorder the terms: -4x + 3y = 0 Solving -4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. -4x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -4x + 0 = 0 + -3y -4x = 0 + -3y Remove the zero: -4x = -3y Divide each side by '-4'. x = 0.75y Simplifying x = 0.75ySolution
x = {0, 0.75y}
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