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Simplifying 80xy + -45x2 = 0 Solving 80xy + -45x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(16y + -9x) = 0 Ignore the factor 5.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 '(16y + -9x)' equal to zero and attempt to solve: Simplifying 16y + -9x = 0 Reorder the terms: -9x + 16y = 0 Solving -9x + 16y = 0 Move all terms containing x to the left, all other terms to the right. Add '-16y' to each side of the equation. -9x + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 -9x + 0 = 0 + -16y -9x = 0 + -16y Remove the zero: -9x = -16y Divide each side by '-9'. x = 1.777777778y Simplifying x = 1.777777778ySolution
x = {0, 1.777777778y}
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