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Simplifying 180 = 5x(9y + 18) Reorder the terms: 180 = 5x(18 + 9y) 180 = (18 * 5x + 9y * 5x) 180 = (90x + 45xy) Solving 180 = 90x + 45xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90x' to each side of the equation. 180 + -90x = 90x + -90x + 45xy Combine like terms: 90x + -90x = 0 180 + -90x = 0 + 45xy 180 + -90x = 45xy Add '-45xy' to each side of the equation. 180 + -90x + -45xy = 45xy + -45xy Combine like terms: 45xy + -45xy = 0 180 + -90x + -45xy = 0 Add '-180' to each side of the equation. 180 + -90x + -180 + -45xy = 0 + -180 Reorder the terms: 180 + -180 + -90x + -45xy = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -90x + -45xy = 0 + -180 -90x + -45xy = 0 + -180 Combine like terms: 0 + -180 = -180 -90x + -45xy = -180 Reorder the terms: 180 + -90x + -45xy = -180 + 180 Combine like terms: -180 + 180 = 0 180 + -90x + -45xy = 0 Factor out the Greatest Common Factor (GCF), '45'. 45(4 + -2x + -1xy) = 0 Ignore the factor 45.Subproblem 1
Set the factor '(4 + -2x + -1xy)' equal to zero and attempt to solve: Simplifying 4 + -2x + -1xy = 0 Solving 4 + -2x + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2x + -4 + -1xy = 0 + -4 Reorder the terms: 4 + -4 + -2x + -1xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2x + -1xy = 0 + -4 -2x + -1xy = 0 + -4 Combine like terms: 0 + -4 = -4 -2x + -1xy = -4 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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