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Simplifying (18 + 2y)(15 + 2x) = 644 Multiply (18 + 2y) * (15 + 2x) (18(15 + 2x) + 2y * (15 + 2x)) = 644 ((15 * 18 + 2x * 18) + 2y * (15 + 2x)) = 644 ((270 + 36x) + 2y * (15 + 2x)) = 644 (270 + 36x + (15 * 2y + 2x * 2y)) = 644 Reorder the terms: (270 + 36x + (4xy + 30y)) = 644 (270 + 36x + (4xy + 30y)) = 644 (270 + 36x + 4xy + 30y) = 644 Solving 270 + 36x + 4xy + 30y = 644 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + 36x + 4xy + -270 + 30y = 644 + -270 Reorder the terms: 270 + -270 + 36x + 4xy + 30y = 644 + -270 Combine like terms: 270 + -270 = 0 0 + 36x + 4xy + 30y = 644 + -270 36x + 4xy + 30y = 644 + -270 Combine like terms: 644 + -270 = 374 36x + 4xy + 30y = 374 Add '-30y' to each side of the equation. 36x + 4xy + 30y + -30y = 374 + -30y Combine like terms: 30y + -30y = 0 36x + 4xy + 0 = 374 + -30y 36x + 4xy = 374 + -30y Reorder the terms: -374 + 36x + 4xy + 30y = 374 + -30y + -374 + 30y Reorder the terms: -374 + 36x + 4xy + 30y = 374 + -374 + -30y + 30y Combine like terms: 374 + -374 = 0 -374 + 36x + 4xy + 30y = 0 + -30y + 30y -374 + 36x + 4xy + 30y = -30y + 30y Combine like terms: -30y + 30y = 0 -374 + 36x + 4xy + 30y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-187 + 18x + 2xy + 15y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-187 + 18x + 2xy + 15y)' equal to zero and attempt to solve: Simplifying -187 + 18x + 2xy + 15y = 0 Solving -187 + 18x + 2xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '187' to each side of the equation. -187 + 18x + 2xy + 187 + 15y = 0 + 187 Reorder the terms: -187 + 187 + 18x + 2xy + 15y = 0 + 187 Combine like terms: -187 + 187 = 0 0 + 18x + 2xy + 15y = 0 + 187 18x + 2xy + 15y = 0 + 187 Combine like terms: 0 + 187 = 187 18x + 2xy + 15y = 187 Add '-15y' to each side of the equation. 18x + 2xy + 15y + -15y = 187 + -15y Combine like terms: 15y + -15y = 0 18x + 2xy + 0 = 187 + -15y 18x + 2xy = 187 + -15y 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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