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Simplifying 12xy + 8y + 30x + 20 = 0 Reorder the terms: 20 + 30x + 12xy + 8y = 0 Solving 20 + 30x + 12xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 30x + 12xy + -20 + 8y = 0 + -20 Reorder the terms: 20 + -20 + 30x + 12xy + 8y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 30x + 12xy + 8y = 0 + -20 30x + 12xy + 8y = 0 + -20 Combine like terms: 0 + -20 = -20 30x + 12xy + 8y = -20 Add '-8y' to each side of the equation. 30x + 12xy + 8y + -8y = -20 + -8y Combine like terms: 8y + -8y = 0 30x + 12xy + 0 = -20 + -8y 30x + 12xy = -20 + -8y Reorder the terms: 20 + 30x + 12xy + 8y = -20 + -8y + 20 + 8y Reorder the terms: 20 + 30x + 12xy + 8y = -20 + 20 + -8y + 8y Combine like terms: -20 + 20 = 0 20 + 30x + 12xy + 8y = 0 + -8y + 8y 20 + 30x + 12xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 20 + 30x + 12xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 15x + 6xy + 4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 15x + 6xy + 4y)' equal to zero and attempt to solve: Simplifying 10 + 15x + 6xy + 4y = 0 Solving 10 + 15x + 6xy + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 15x + 6xy + -10 + 4y = 0 + -10 Reorder the terms: 10 + -10 + 15x + 6xy + 4y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 15x + 6xy + 4y = 0 + -10 15x + 6xy + 4y = 0 + -10 Combine like terms: 0 + -10 = -10 15x + 6xy + 4y = -10 Add '-4y' to each side of the equation. 15x + 6xy + 4y + -4y = -10 + -4y Combine like terms: 4y + -4y = 0 15x + 6xy + 0 = -10 + -4y 15x + 6xy = -10 + -4y 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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