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Simplifying 18x2 + -31xy + 6x2 = 0 Reorder the terms: -31xy + 18x2 + 6x2 = 0 Combine like terms: 18x2 + 6x2 = 24x2 -31xy + 24x2 = 0 Solving -31xy + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-31y + 24x) = 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 '(-31y + 24x)' equal to zero and attempt to solve: Simplifying -31y + 24x = 0 Reorder the terms: 24x + -31y = 0 Solving 24x + -31y = 0 Move all terms containing x to the left, all other terms to the right. Add '31y' to each side of the equation. 24x + -31y + 31y = 0 + 31y Combine like terms: -31y + 31y = 0 24x + 0 = 0 + 31y 24x = 0 + 31y Remove the zero: 24x = 31y Divide each side by '24'. x = 1.291666667y Simplifying x = 1.291666667ySolution
x = {0, 1.291666667y}
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