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Simplifying 30 = 2x(9 + y) 30 = (9 * 2x + y * 2x) 30 = (18x + 2xy) Solving 30 = 18x + 2xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 30 + -18x = 18x + -18x + 2xy Combine like terms: 18x + -18x = 0 30 + -18x = 0 + 2xy 30 + -18x = 2xy Add '-2xy' to each side of the equation. 30 + -18x + -2xy = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 30 + -18x + -2xy = 0 Add '-30' to each side of the equation. 30 + -18x + -30 + -2xy = 0 + -30 Reorder the terms: 30 + -30 + -18x + -2xy = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18x + -2xy = 0 + -30 -18x + -2xy = 0 + -30 Combine like terms: 0 + -30 = -30 -18x + -2xy = -30 Reorder the terms: 30 + -18x + -2xy = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -18x + -2xy = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -9x + -1xy) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -9x + -1xy)' equal to zero and attempt to solve: Simplifying 15 + -9x + -1xy = 0 Solving 15 + -9x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -9x + -15 + -1xy = 0 + -15 Reorder the terms: 15 + -15 + -9x + -1xy = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9x + -1xy = 0 + -15 -9x + -1xy = 0 + -15 Combine like terms: 0 + -15 = -15 -9x + -1xy = -15 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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