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Simplifying 9x2 + -42xy + 49x2 = 0 Reorder the terms: -42xy + 9x2 + 49x2 = 0 Combine like terms: 9x2 + 49x2 = 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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