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Simplifying 4x2 + 7xy + 3x2 + xy = 0 Reorder the terms: 7xy + xy + 4x2 + 3x2 = 0 Combine like terms: 7xy + xy = 8xy 8xy + 4x2 + 3x2 = 0 Combine like terms: 4x2 + 3x2 = 7x2 8xy + 7x2 = 0 Solving 8xy + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(8y + 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 '(8y + 7x)' equal to zero and attempt to solve: Simplifying 8y + 7x = 0 Reorder the terms: 7x + 8y = 0 Solving 7x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 7x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 7x + 0 = 0 + -8y 7x = 0 + -8y Remove the zero: 7x = -8y Divide each side by '7'. x = -1.142857143y Simplifying x = -1.142857143ySolution
x = {0, -1.142857143y}
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