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Simplifying 30a + -330ab + 480b = -1710 Solving 30a + -330ab + 480b = -1710 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-480b' to each side of the equation. 30a + -330ab + 480b + -480b = -1710 + -480b Combine like terms: 480b + -480b = 0 30a + -330ab + 0 = -1710 + -480b 30a + -330ab = -1710 + -480b Reorder the terms: 1710 + 30a + -330ab + 480b = -1710 + -480b + 1710 + 480b Reorder the terms: 1710 + 30a + -330ab + 480b = -1710 + 1710 + -480b + 480b Combine like terms: -1710 + 1710 = 0 1710 + 30a + -330ab + 480b = 0 + -480b + 480b 1710 + 30a + -330ab + 480b = -480b + 480b Combine like terms: -480b + 480b = 0 1710 + 30a + -330ab + 480b = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(57 + a + -11ab + 16b) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(57 + a + -11ab + 16b)' equal to zero and attempt to solve: Simplifying 57 + a + -11ab + 16b = 0 Solving 57 + a + -11ab + 16b = 0 Move all terms containing a to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + a + -11ab + -57 + 16b = 0 + -57 Reorder the terms: 57 + -57 + a + -11ab + 16b = 0 + -57 Combine like terms: 57 + -57 = 0 0 + a + -11ab + 16b = 0 + -57 a + -11ab + 16b = 0 + -57 Combine like terms: 0 + -57 = -57 a + -11ab + 16b = -57 Add '-16b' to each side of the equation. a + -11ab + 16b + -16b = -57 + -16b Combine like terms: 16b + -16b = 0 a + -11ab + 0 = -57 + -16b a + -11ab = -57 + -16b 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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