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Simplifying 17x(2y + 3) + -25 = 366 Reorder the terms: 17x(3 + 2y) + -25 = 366 (3 * 17x + 2y * 17x) + -25 = 366 (51x + 34xy) + -25 = 366 Reorder the terms: -25 + 51x + 34xy = 366 Solving -25 + 51x + 34xy = 366 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 51x + 25 + 34xy = 366 + 25 Reorder the terms: -25 + 25 + 51x + 34xy = 366 + 25 Combine like terms: -25 + 25 = 0 0 + 51x + 34xy = 366 + 25 51x + 34xy = 366 + 25 Combine like terms: 366 + 25 = 391 51x + 34xy = 391 Reorder the terms: -391 + 51x + 34xy = 391 + -391 Combine like terms: 391 + -391 = 0 -391 + 51x + 34xy = 0 Factor out the Greatest Common Factor (GCF), '17'. 17(-23 + 3x + 2xy) = 0 Ignore the factor 17.Subproblem 1
Set the factor '(-23 + 3x + 2xy)' equal to zero and attempt to solve: Simplifying -23 + 3x + 2xy = 0 Solving -23 + 3x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 3x + 23 + 2xy = 0 + 23 Reorder the terms: -23 + 23 + 3x + 2xy = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 3x + 2xy = 0 + 23 3x + 2xy = 0 + 23 Combine like terms: 0 + 23 = 23 3x + 2xy = 23 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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