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Simplifying 9x2 + 24xy + 16x2 = 0 Reorder the terms: 24xy + 9x2 + 16x2 = 0 Combine like terms: 9x2 + 16x2 = 25x2 24xy + 25x2 = 0 Solving 24xy + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(24y + 25x) = 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 '(24y + 25x)' equal to zero and attempt to solve: Simplifying 24y + 25x = 0 Reorder the terms: 25x + 24y = 0 Solving 25x + 24y = 0 Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 25x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 25x + 0 = 0 + -24y 25x = 0 + -24y Remove the zero: 25x = -24y Divide each side by '25'. x = -0.96y Simplifying x = -0.96ySolution
x = {0, -0.96y}
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