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