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Simplifying 4x2 + 3xy + 2x2 + 4xy + -5xy + x = 0 Reorder the terms: x + 3xy + 4xy + -5xy + 4x2 + 2x2 = 0 Combine like terms: 3xy + 4xy = 7xy x + 7xy + -5xy + 4x2 + 2x2 = 0 Combine like terms: 7xy + -5xy = 2xy x + 2xy + 4x2 + 2x2 = 0 Combine like terms: 4x2 + 2x2 = 6x2 x + 2xy + 6x2 = 0 Solving x + 2xy + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 2y + 6x) = 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 '(1 + 2y + 6x)' equal to zero and attempt to solve: Simplifying 1 + 2y + 6x = 0 Reorder the terms: 1 + 6x + 2y = 0 Solving 1 + 6x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6x + -1 + 2y = 0 + -1 Reorder the terms: 1 + -1 + 6x + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x + 2y = 0 + -1 6x + 2y = 0 + -1 Combine like terms: 0 + -1 = -1 6x + 2y = -1 Add '-2y' to each side of the equation. 6x + 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 6x + 0 = -1 + -2y 6x = -1 + -2y Divide each side by '6'. x = -0.1666666667 + -0.3333333333y Simplifying x = -0.1666666667 + -0.3333333333ySolution
x = {0, -0.1666666667 + -0.3333333333y}
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