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Simplifying 3xy2 + 6x + -4x2 + 5x + 2xy2 + 6x2 = 0 Reorder the terms: 6x + 5x + 3xy2 + 2xy2 + -4x2 + 6x2 = 0 Combine like terms: 6x + 5x = 11x 11x + 3xy2 + 2xy2 + -4x2 + 6x2 = 0 Combine like terms: 3xy2 + 2xy2 = 5xy2 11x + 5xy2 + -4x2 + 6x2 = 0 Combine like terms: -4x2 + 6x2 = 2x2 11x + 5xy2 + 2x2 = 0 Solving 11x + 5xy2 + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 5y2 + 2x) = 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 '(11 + 5y2 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 5y2 + 2x = 0 Reorder the terms: 11 + 2x + 5y2 = 0 Solving 11 + 2x + 5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2x + -11 + 5y2 = 0 + -11 Reorder the terms: 11 + -11 + 2x + 5y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x + 5y2 = 0 + -11 2x + 5y2 = 0 + -11 Combine like terms: 0 + -11 = -11 2x + 5y2 = -11 Add '-5y2' to each side of the equation. 2x + 5y2 + -5y2 = -11 + -5y2 Combine like terms: 5y2 + -5y2 = 0 2x + 0 = -11 + -5y2 2x = -11 + -5y2 Divide each side by '2'. x = -5.5 + -2.5y2 Simplifying x = -5.5 + -2.5y2Solution
x = {0, -5.5 + -2.5y2}
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