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