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Simplifying 7x2 + 2xy + 4x2 = 0 Reorder the terms: 2xy + 7x2 + 4x2 = 0 Combine like terms: 7x2 + 4x2 = 11x2 2xy + 11x2 = 0 Solving 2xy + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2y + 11x) = 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 '(2y + 11x)' equal to zero and attempt to solve: Simplifying 2y + 11x = 0 Reorder the terms: 11x + 2y = 0 Solving 11x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 11x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 11x + 0 = 0 + -2y 11x = 0 + -2y Remove the zero: 11x = -2y Divide each side by '11'. x = -0.1818181818y Simplifying x = -0.1818181818ySolution
x = {0, -0.1818181818y}
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