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Simplifying 0 = 11x + 44x2y Solving 0 = 11x + 44x2y Solving for variable 'x'. Remove the zero: -11x + -44x2y = 11x + 44x2y + -11x + -44x2y Reorder the terms: -11x + -44x2y = 11x + -11x + 44x2y + -44x2y Combine like terms: 11x + -11x = 0 -11x + -44x2y = 0 + 44x2y + -44x2y -11x + -44x2y = 44x2y + -44x2y Combine like terms: 44x2y + -44x2y = 0 -11x + -44x2y = 0 Factor out the Greatest Common Factor (GCF), '-11x'. -11x(1 + 4xy) = 0 Ignore the factor -11.Subproblem 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 + 4xy)' equal to zero and attempt to solve: Simplifying 1 + 4xy = 0 Solving 1 + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4xy = 0 + -1 4xy = 0 + -1 Combine like terms: 0 + -1 = -1 4xy = -1 Divide each side by '4y'. x = -0.25y-1 Simplifying x = -0.25y-1Solution
x = {0, -0.25y-1}
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