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Simplifying 8x2 + 22xy + 5x2 = 0 Reorder the terms: 22xy + 8x2 + 5x2 = 0 Combine like terms: 8x2 + 5x2 = 13x2 22xy + 13x2 = 0 Solving 22xy + 13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(22y + 13x) = 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 '(22y + 13x)' equal to zero and attempt to solve: Simplifying 22y + 13x = 0 Reorder the terms: 13x + 22y = 0 Solving 13x + 22y = 0 Move all terms containing x to the left, all other terms to the right. Add '-22y' to each side of the equation. 13x + 22y + -22y = 0 + -22y Combine like terms: 22y + -22y = 0 13x + 0 = 0 + -22y 13x = 0 + -22y Remove the zero: 13x = -22y Divide each side by '13'. x = -1.692307692y Simplifying x = -1.692307692ySolution
x = {0, -1.692307692y}
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