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Simplifying 6x(6 + 3y + -4) + 8y = 0 Reorder the terms: 6x(6 + -4 + 3y) + 8y = 0 Combine like terms: 6 + -4 = 2 6x(2 + 3y) + 8y = 0 (2 * 6x + 3y * 6x) + 8y = 0 (12x + 18xy) + 8y = 0 Solving 12x + 18xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 12x + 18xy + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 12x + 18xy + 0 = 0 + -8y 12x + 18xy = 0 + -8y Remove the zero: 12x + 18xy = -8y Combine like terms: -8y + 8y = 0 12x + 18xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6x + 9xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6x + 9xy + 4y)' equal to zero and attempt to solve: Simplifying 6x + 9xy + 4y = 0 Solving 6x + 9xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 6x + 9xy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 6x + 9xy + 0 = 0 + -4y 6x + 9xy = 0 + -4y Remove the zero: 6x + 9xy = -4y 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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