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Simplifying 2x2 + xy + x2 + 3xy + 4x2 = 0 Reorder the terms: xy + 3xy + 2x2 + x2 + 4x2 = 0 Combine like terms: xy + 3xy = 4xy 4xy + 2x2 + x2 + 4x2 = 0 Combine like terms: 2x2 + x2 = 3x2 4xy + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 4xy + 7x2 = 0 Solving 4xy + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(4y + 7x) = 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 '(4y + 7x)' equal to zero and attempt to solve: Simplifying 4y + 7x = 0 Reorder the terms: 7x + 4y = 0 Solving 7x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 0 + -4y 7x = 0 + -4y Remove the zero: 7x = -4y Divide each side by '7'. x = -0.5714285714y Simplifying x = -0.5714285714ySolution
x = {0, -0.5714285714y}
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