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Write your answers here: 8x^2 y+12xy^2 help |
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Answer» Simplifying 8x2y + 12xy2 = 0 Reorder the terms: 12xy2 + 8x2y = 0 Solving 12xy2 + 8x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(3y + 2x) = 0 Ignore the factor 4. Subproblem 1 Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms CONTAINING x to the left, all other terms to the right. Simplifying xy = 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 '(3y + 2x)' equal to zero and attempt to solve: Simplifying 3y + 2x = 0 Reorder the terms: 2x + 3y = 0 Solving 2x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each SIDE of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y Solution x = {-1.5y} |
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