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Simplifying 72xy + -24x + 90y + -30 = 0 Reorder the terms: -30 + -24x + 72xy + 90y = 0 Solving -30 + -24x + 72xy + 90y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -24x + 72xy + 30 + 90y = 0 + 30 Reorder the terms: -30 + 30 + -24x + 72xy + 90y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -24x + 72xy + 90y = 0 + 30 -24x + 72xy + 90y = 0 + 30 Combine like terms: 0 + 30 = 30 -24x + 72xy + 90y = 30 Add '-90y' to each side of the equation. -24x + 72xy + 90y + -90y = 30 + -90y Combine like terms: 90y + -90y = 0 -24x + 72xy + 0 = 30 + -90y -24x + 72xy = 30 + -90y Reorder the terms: -30 + -24x + 72xy + 90y = 30 + -90y + -30 + 90y Reorder the terms: -30 + -24x + 72xy + 90y = 30 + -30 + -90y + 90y Combine like terms: 30 + -30 = 0 -30 + -24x + 72xy + 90y = 0 + -90y + 90y -30 + -24x + 72xy + 90y = -90y + 90y Combine like terms: -90y + 90y = 0 -30 + -24x + 72xy + 90y = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-5 + -4x + 12xy + 15y) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + -4x + 12xy + 15y)' equal to zero and attempt to solve: Simplifying -5 + -4x + 12xy + 15y = 0 Solving -5 + -4x + 12xy + 15y = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4x + 12xy + 5 + 15y = 0 + 5 Reorder the terms: -5 + 5 + -4x + 12xy + 15y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + 12xy + 15y = 0 + 5 -4x + 12xy + 15y = 0 + 5 Combine like terms: 0 + 5 = 5 -4x + 12xy + 15y = 5 Add '-15y' to each side of the equation. -4x + 12xy + 15y + -15y = 5 + -15y Combine like terms: 15y + -15y = 0 -4x + 12xy + 0 = 5 + -15y -4x + 12xy = 5 + -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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