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Simplifying (2x3 + 3y)(2x3 + 3y) = 0 Multiply (2x3 + 3y) * (2x3 + 3y) (2x3 * (2x3 + 3y) + 3y * (2x3 + 3y)) = 0 ((2x3 * 2x3 + 3y * 2x3) + 3y * (2x3 + 3y)) = 0 Reorder the terms: ((6x3y + 4x6) + 3y * (2x3 + 3y)) = 0 ((6x3y + 4x6) + 3y * (2x3 + 3y)) = 0 (6x3y + 4x6 + (2x3 * 3y + 3y * 3y)) = 0 (6x3y + 4x6 + (6x3y + 9y2)) = 0 Reorder the terms: (6x3y + 6x3y + 4x6 + 9y2) = 0 Combine like terms: 6x3y + 6x3y = 12x3y (12x3y + 4x6 + 9y2) = 0 Solving 12x3y + 4x6 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x3 + 3y)(2x3 + 3y) = 0Subproblem 1
Set the factor '(2x3 + 3y)' equal to zero and attempt to solve: Simplifying 2x3 + 3y = 0 Solving 2x3 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x3 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x3 + 0 = 0 + -3y 2x3 = 0 + -3y Remove the zero: 2x3 = -3y Divide each side by '2'. x3 = -1.5y Simplifying x3 = -1.5y 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 '(2x3 + 3y)' equal to zero and attempt to solve: Simplifying 2x3 + 3y = 0 Solving 2x3 + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 2x3 + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x3 + 0 = 0 + -3y 2x3 = 0 + -3y Remove the zero: 2x3 = -3y Divide each side by '2'. x3 = -1.5y Simplifying x3 = -1.5y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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