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