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Simplifying 49x2 + 42xy + 9x2 = 0 Reorder the terms: 42xy + 49x2 + 9x2 = 0 Combine like terms: 49x2 + 9x2 = 58x2 42xy + 58x2 = 0 Solving 42xy + 58x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(21y + 29x) = 0 Ignore the factor 2.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 '(21y + 29x)' equal to zero and attempt to solve: Simplifying 21y + 29x = 0 Reorder the terms: 29x + 21y = 0 Solving 29x + 21y = 0 Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 29x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 29x + 0 = 0 + -21y 29x = 0 + -21y Remove the zero: 29x = -21y Divide each side by '29'. x = -0.724137931y Simplifying x = -0.724137931ySolution
x = {0, -0.724137931y}
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