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Simplifying (6xy2)(-8x + 9y) = 0 Remove parenthesis around (6xy2) 6xy2(-8x + 9y) = 0 (-8x * 6xy2 + 9y * 6xy2) = 0 Reorder the terms: (54xy3 + -48x2y2) = 0 (54xy3 + -48x2y2) = 0 Solving 54xy3 + -48x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy2'. 6xy2(9y + -8x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve: Simplifying xy2 = 0 Solving xy2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = {1.125y}
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