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Simplifying 16x2 + -18xy = 0 Reorder the terms: -18xy + 16x2 = 0 Solving -18xy + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9y + 8x) = 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 '(-9y + 8x)' equal to zero and attempt to solve: Simplifying -9y + 8x = 0 Reorder the terms: 8x + -9y = 0 Solving 8x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. 8x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 8x + 0 = 0 + 9y 8x = 0 + 9y Remove the zero: 8x = 9y Divide each side by '8'. x = 1.125y Simplifying x = 1.125ySolution
x = {0, 1.125y}
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